## Q1. If the foot of the perpendicular from the origin to a plane is (a, b, c), then equation of the plane is  x/a+y/b+z/c=1  ax+by+cz=1  ax+by+cz=0  ax+by+cz=a^2+b^2+c^2 Solution Let P be the foot of the perpendicular from the origin on the plane, then direction ratios ofOP, the normal to the plane area-0,b-0,c-0 ie,a,b,c. Also, since, it passes through (a,b,c), the equation of the plane is a(x-a)+b(y-b)+c(z-c)=0 ⇒ ax+by+cz=a^2+b^2+c^2 Q2. The point on the line x-21=y+3-2=z+5-2 at a distance of 6 from the point (2, -3, -5) is  (3, -5,-3)  (4, -7, -9)  (0, 2, -1)  (-3, 5, 3) Solution DC’s of the given line are 1/3,-2/3,-2/3 Hence, the equation of line can be point in the form (x-2)/(1/3)=(y+3)/(-2/3)=(z+5)/(-2/3)=r ∴ Point is (2+r/3,-3-2r/3,-5-2r/3) ∴r=±6 Q3.  The distance of the point P(1,2,3) from the line which passes through the point A4,2,2and parallel to the vector 2i+3j+6k is   1  √7  √5  √10 Solution      Q4.  Equation of plane passing through the points (2, 2, 1), (9, 3, 6) and perpendicular to the plane 2x+6y+6z-1=0, is  3x+4y+5z=9  3x+4y-5z+9=0  None of these  3x+4y-5z-9=0 Solution Equation of a plane passing through (2, 2, 1) is a(x-2)+b(y-2)+c(z-1)=0 … (i) This passes through (9, 3, 6) and is perpendicular to 2x+6y+6z-1=0 ∴7a+b+5c=0 and, 2a+6b+6c=0 Solving these two by cross-multiplication, we get a/(-24)=b/(-32)=c/40⇒a/(-3)=b/(-4)=c/5 Substituting the values of a,b,c in (i), we get 3x+4y-5z-9=0 as the required plane Q5.The vector equation of the plane through the point 2, 1, -1 and passing through the line of intersection of the plane ri+3 j-k=0 and rj+2 k=0, is  r.(i+9 j+11 k)=0  r.(i+9 j+11 k)=6  r.(i-3j-13k)=0  None of these Solution  The vector equation of a plane through the line of intersection of the planes r ⃗∙(i ̂+3j ̂-k ̂ )=0 and r ⃗∙(j ̂+2k ̂ )=0 can be written as {r ⃗∙(i ̂+3j ̂+-k ̂ )}+Î»{r ⃗∙(j ̂+2k ̂ )}=0 …(i) This passes through 2i ̂+j ̂-k ̂ ∴(2i ̂+j ̂-k ̂ )∙(i ̂+3j ̂-k ̂ )+Î»(2i ̂+j ̂-k ̂ )∙(j ̂+2k ̂ )=0 ⇒(2+3+1)+Î»(0+1-2)=0⇒Î»=6 Putting the value of Î» in (i), we get the equation of the required plane as r ⃗∙(i ̂+9j ̂+11k ̂ )=0 Q6. The equation of the plane passing through the points (0, 1, 2) and (-1, 0, 3) and perpendicular to the plane 2x+3y+z=5 is  3x-4y+18z+32=0  4x-3y+z+1=0 4x+3y-17z+31=0  3x+4y-18z+32=0 Solution Any plane passing through (0, 1, 2) is a(x-0)+b(y-1)+c(z-2)=0 ⟹ax+b(y-1)+c(z-2)=0 ….(i) Since, it is passing through (-1,0,3), we get -a-b+c=0 …..(ii) Also, Eq. is perpendicular to 2x+3y+z=5 ∴2a+3b+c=0 ….(iii) On solving Eqs. (ii) and (iii), we get a/(-4)=b/3=c/(-1) ∴From Eq. (i) -4x+3(y-1)-1(z-2)=0 ⟹4x-3y+z+1=0 Q7.The centre of sphere passes through four points (0, 0, 0), (0,2,0), (1,0, 0)and (0, 0, 4) is  (-1/2,1,2)  (1,1/2,2)  (1/2,1,2)  (1/2,1,-2) Solution Let the equation of sphere passing through (0, 0, 0) be x^2+y^2+z^2+2ux+2vy+2wz=0 Also, it passes through (0, 2, 0), (1, 0, 0), (0, 0, 4) respectively are 4+4v=0 ⟹v=-1 1+2u=0⟹u=-1/2 and 16+8w⟹w=-2 ∴ Centre is (-u,-v,-w)=(1/2,1,2) Q8.A plane Ï€ makes intercepts 3 and 4 respectively on z-axis and x-axis. If Ï€ is parallel to y-axis, then its equation is  3z+4x=12  3x+4z=12  3y+4z=12  3z+4y=12 Solution Given, a=4,c=3 Equation of the plane Ï€ is x/4+y/b+z/3=1 Since, Ï€ is parallel to y-axis ∴Coefficient of y=0 ie,1/b=0 Thus, the equation of plane Ï€ is x/4+z/3=1 ⟹3x+4z-12=0 Q9.The length of the perpendicular from the origin to the plane passing through three non-collinear points a, b, c is  None of these  2[a ⃗ b ⃗ c ⃗ ]/|a ⃗×b ⃗+b ⃗×c ⃗+c ⃗×a ⃗ |  [a ⃗ b ⃗ c ⃗ ]  [a ⃗ b ⃗ c ⃗ ]/|a ⃗×b ⃗+c ⃗×a ⃗+b ⃗×c ⃗ | Solution The vector equation of the plane passing through points a ⃗,b ⃗,c ⃗ is r ⃗∙(a ⃗×b ⃗+b ⃗×c ⃗+c ⃗×a ⃗ )=[a ⃗ b ⃗ c ⃗ ] Therefore, the length of the perpendicular from the origin to this plane is given by Q10. If P3, 2, -4, Q(5, 4, -6) and R(9, 8, -10) are collinear, then R divides PQ in the ratio  3∶2 internally  3 :2 externally  2∶1 internally 2∶1 externally Solution Suppose R divides PQ in the ratio Î»∶1. Then, the coordinates of R are ((5 Î»+3)/(Î»+1),(4 Î»+2)/(Î»+1),(-6 Î»-4)/(Î»+1)) But, the coordinates of R are given as (9,8,-10) ∴(5 Î»+3)/(Î»+1)=9,(4 Î»+2)/(Î»+1)=8 and (-6 Î»-4)/(Î»+1)=-10 ⇒Î»=-3/2 Hence, R divides PQ externally in the ratio 3 : 2 var answers = ["D","B","D","D","A","B","C","B","D","B"]; var tot = answers.length; function getCheckedValue( radioName ){ var radios = document.getElementsByName( radioName ); //console.log(radios) for (var y=0; y < radios.length; y++){ if (radios[y].checked) return radios[y].value; } } function getScore(){ var score = 0; for (var i=0; i<tot; i++){ var answerVal = getCheckedValue('question'+i) //console.log(answerVal, answers[i]) if (typeof answerVal != undefined && answerVal == answers[i]) score += 1; } return score; } function returnScore(){ alert('Your score is' +getScore()+"/"+tot); } var q, m, s; function quizCount(){ if(!q){ console.log('mobile2'); m = 1, s = 0; } if(q){ clearTimeout(q); } m = 10, s = 0; \$('#timer').val(m + ":" + s); s = s-1; console.log(s) q = setTimeout("counter()", 1000); if(s<1){ m = m-1; console.log(m) s = 59; } } function counter(){ console.log(m); \$('#timer').val(m + ":" + s); s = s-1; console.log(s) q = setTimeout("counter()", 1000); if(s<1){ m = m-1; console.log(m) s = 59; } if(m<0){ quizStop(); } } function quizStop(){ clearTimeout(q); q= null; m = null; s = null; document.getElementById('timer').value= 'Quiz Finished'; alert("Your score is "+ getScore() +"/"+ tot); \$('.answer').slideDown(); \$('.opt-right').addClass('active'); \$('.start-btn, #reset').hide(); \$('#reset-start').show(); } function quizReset(){ clearTimeout(q); document.getElementById('timer').reset(); } \$(document).ready(function(){ // var a = \$('.question .q-options li .rad').length; \$('.submit').click(function(){ returnScore(); \$('.opt-right').addClass('active'); \$('.answer').slideDown(); }); \$('#reset').click(function(){ quizReset(); }); \$('#reset-start').click(function(){ \$('.opt-right').removeClass('active'); \$('.answer').slideUp(); \$('.start-btn, #reset').show(); \$('#reset-start').hide(); \$('.rad').prop('checked', false); }); }); { "@context": "https://schema.org/", "@type": "Quiz", "typicalAgeRange": "7-12", //ADD THE REQUIRED AGE RANGE "educationalLevel": "intermediate", //ADD THE DIFFICULTY "assesses": "3-D COORDINATE GEOMETRY", //ADD THE TOPIC NAME "educationalAlignment": [ {"@type": "AlignmentObject", "alignmentType": "educationalSubject", "targetName": "3-D COORDINATE GEOMETRY" } //ADD THE TOPIC NAME IN &#8220;targetName&#8221; BLOCK,ADD &#8216;,&#8217;(COMMA) AND REPEAT THE HIGHLIGHTED //BLOCK FOR ADDING MORE TOPICS ], "name": "Quiz about 3-D COORDINATE GEOMETRY",//ADD THE //QUESTION TOPIC "about": { "@type": "Thing", "name": "3-D COORDINATE GEOMETRY"//ADD THE QUESTION TOPIC }, "hasPart": [ { "@type": "Question", "eduQuestionType": "Multiple choice", //Question type "learningResourceType": "Practice problem", "name": "3-D COORDINATE GEOMETRY - 1",//ADD QUESTION NAME "text": "\$\$If the foot of the perpendicular from the origin to a plane is (a, b, c), then equation of the plane is\$\$",//ADD THE QUESTION TEXT "comment": { "@type": "Comment", "Text": "This is a hint of question"//ADD HINT FOR QUESTIONS }, "encodingFormat": "text/markdown", "suggestedAnswer": [ //HERE PUT THE WRONG ANSWERS/OPTIONS { "@type": "Answer", "position": 0,//OPTION POSITION 0,1,2,3 "encodingFormat": "text/markdown", "text": "\$\$x/a+y/b+z/c=1 \$\$",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint" //COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 1, "encodingFormat": "text/markdown", "text": "\$\$ax+by+cz=1 \$\$", //ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 2, "encodingFormat": "text/markdown", "text": "\$\$ ax+by+cz=0 \$\$",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } ], "acceptedAnswer": { //HERE PUT THE CORRECT ANSWER "@type": "Answer", "position": 3, "encodingFormat": "text/markdown", "text": "\$\$ax+by+cz=a^2+b^2+c^2 \$\$",//ADD THE ANSWER BETWEEN &#8220; &#8220; "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } } , { "@type": "Question", "eduQuestionType": "Multiple choice", //Question type "learningResourceType": "Practice problem", "name": "3-D COORDINATE GEOMETRY - 2",//ADD QUESTION NAME "text": "\$\$ The point on the line x-21=y+3-2=z+5-2 at a distance of 6 from the point (2, -3, -5)is\$\$",//ADD THE QUESTION TEXT "comment": { "@type": "Comment", "Text": "This is a hint of question"//ADD HINT FOR QUESTIONS }, "encodingFormat": "text/markdown", "suggestedAnswer": [ //HERE PUT THE WRONG ANSWERS/OPTIONS { "@type": "Answer", "position": 0,//OPTION POSITION 0,1,2,3 "encodingFormat": "text/markdown", "text": "\$\$(3, -5,-3)\$\$",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint" //COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 2, "encodingFormat": "text/markdown", "text": "\$\$(0, 2, -1)\$\$", //ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 3, "encodingFormat": "text/markdown", "text": "\$\$ (-3, 5, 3)\$\$",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } ], "acceptedAnswer": { //HERE PUT THE CORRECT ANSWER "@type": "Answer", "position": 1, "encodingFormat": "text/markdown", "text": "\$\$(4, -7, -9)\$\$",//ADD THE ANSWER BETWEEN &#8220; &#8220; "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } } , { "@type": "Question", "eduQuestionType": "Multiple choice", //Question type "learningResourceType": "Practice problem", "name": "3-D COORDINATE GEOMETRY - 3",//ADD QUESTION NAME "text": "\$\$The distance of the point P(1,2,3) from the line which passes through the point A4,2,2and parallel to the vector 2i+3j+6k is\$\$",//ADD THE QUESTION TEXT "comment": { "@type": "Comment", "Text": "This is a hint of question"//ADD HINT FOR QUESTIONS }, "encodingFormat": "text/markdown", "suggestedAnswer": [ //HERE PUT THE WRONG ANSWERS/OPTIONS { "@type": "Answer", "position": 0,//OPTION POSITION 0,1,2,3 "encodingFormat": "text/markdown", "text": "\$\$1\$\$ ",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint" //COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 1, "encodingFormat": "text/markdown", "text": "\$\$&#8730;7\$\$", //ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 2, "encodingFormat": "text/markdown", "text": "\$\$&#8730;5\$\$",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } ], "acceptedAnswer": { //HERE PUT THE CORRECT ANSWER "@type": "Answer", "position": 3, "encodingFormat": "text/markdown", "text": "\$\$&#8730;10\$\$",//ADD THE ANSWER BETWEEN &#8220; &#8220; "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } }, { "@type": "Question", "eduQuestionType": "Multiple choice", //Question type "learningResourceType": "Practice problem", "name": "3-D COORDINATE GEOMETRY - 4",//ADD QUESTION NAME "text": "\$\$Equation of plane passing through the points (2, 2, 1), (9, 3, 6) and perpendicular to the plane 2x+6y+6z-1=0, is\$\$",//ADD THE QUESTION TEXT "comment": { "@type": "Comment", "Text": "This is a hint of question"//ADD HINT FOR QUESTIONS }, "encodingFormat": "text/markdown", "suggestedAnswer": [ //HERE PUT THE WRONG ANSWERS/OPTIONS { "@type": "Answer", "position": 0,//OPTION POSITION 0,1,2,3 "encodingFormat": "text/markdown", "text": "\$\$3x+4y+5z=9\$\$",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint" //COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 1, "encodingFormat": "text/markdown", "text": " \$\$3x+4y-5z+9=0 \$\$", //ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 2, "encodingFormat": "text/markdown", "text": "\$\$ None of these\$\$",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } ], "acceptedAnswer": { //HERE PUT THE CORRECT ANSWER "@type": "Answer", "position": 3, "encodingFormat": "text/markdown", "text": "\$\$3x+4y-5z-9=0\$\$",//ADD THE ANSWER BETWEEN &#8220; &#8220; "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } }, { "@type": "Question", "eduQuestionType": "Multiple choice", //Question type "learningResourceType": "Practice problem", "name": "3-D COORDINATE GEOMETRY - 5",//ADD QUESTION NAME "text": "\$\$The vector equation of the plane through the point 2, 1, -1 and passing through the line of intersection of the plane ri+3 j-k=0 and rj+2 k=0,\$\$",//ADD THE QUESTION TEXT "comment": { "@type": "Comment", "Text": "This is a hint of question"//ADD HINT FOR QUESTIONS }, "encodingFormat": "text/markdown", "suggestedAnswer": [ //HERE PUT THE WRONG ANSWERS/OPTIONS { "@type": "Answer", "position": 1,//OPTION POSITION 0,1,2,3 "encodingFormat": "text/markdown", "text": "\$\$r.(i+9 j+11 k)=6\$\$ ",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint" //COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 2, "encodingFormat": "text/markdown", "text": "\$\$r.(i-3j-13k)=0\$\$", //ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 3, "encodingFormat": "text/markdown", "text": "None of these",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } ], "acceptedAnswer": { //HERE PUT THE CORRECT ANSWER "@type": "Answer", "position": 0, "encodingFormat": "text/markdown", "text": "\$\$r.(i+9 j+11 k)=0",//ADD THE ANSWER BETWEEN &#8220; &#8220; "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } } , { "@type": "Question", "eduQuestionType": "Multiple choice", //Question type "learningResourceType": "Practice problem", "name": "3-D COORDINATE GEOMETRY - 6",//ADD QUESTION NAME "text": "\$\$EThe equation of the plane passing through the points (0, 1, 2) and (-1, 0, 3) and perpendicular to the plane 2x+3y+z=5 is \$\$",//ADD THE QUESTION TEXT "comment": { "@type": "Comment", "Text": "This is a hint of question"//ADD HINT FOR QUESTIONS }, "encodingFormat": "text/markdown", "suggestedAnswer": [ //HERE PUT THE WRONG ANSWERS/OPTIONS { "@type": "Answer", "position": 0,//OPTION POSITION 0,1,2,3 "encodingFormat": "text/markdown", "text": "\$\$3x-4y+18z+32=0 \$\$ ",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint" //COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 2, "encodingFormat": "text/markdown", "text": "\$\$4x+3y-17z+31=0\$\$", //ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 3, "encodingFormat": "text/markdown", "text": "\$\$3x+4y-18z+32=0 \$\$ ",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } ], "acceptedAnswer": { //HERE PUT THE CORRECT ANSWER "@type": "Answer", "position": 1, "encodingFormat": "text/markdown", "text": "\$\$4x-3y+z+1=0 \$\$",//ADD THE ANSWER BETWEEN &#8220; &#8220; "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } }, { "@type": "Question", "eduQuestionType": "Multiple choice", //Question type "learningResourceType": "Practice problem", "name": "3-D COORDINATE GEOMETRY - 7",//ADD QUESTION NAME "text": "\$\$The centre of sphere passes through four points (0, 0, 0), (0,2,0), (1,0, 0)and (0, 0, 4) is \$\$",//ADD THE QUESTION TEXT "comment": { "@type": "Comment", "Text": "This is a hint of question"//ADD HINT FOR QUESTIONS }, "encodingFormat": "text/markdown", "suggestedAnswer": [ //HERE PUT THE WRONG ANSWERS/OPTIONS { "@type": "Answer", "position": 0,//OPTION POSITION 0,1,2,3 "encodingFormat": "text/markdown", "text": "\$\$(-1/2,1,2) \$\$ ",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint" //COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 1, "encodingFormat": "text/markdown", "text": "\$\$(1,1/2,2)\$\$", //ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 3, "encodingFormat": "text/markdown", "text": "\$\$(1/2,1,2)\$\$",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } ], "acceptedAnswer": { //HERE PUT THE CORRECT ANSWER "@type": "Answer", "position": 2, "encodingFormat": "text/markdown", "text": "\$\$(1/2,1,-2)\$\$",//ADD THE ANSWER BETWEEN &#8220; &#8220; "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } }, { "@type": "Question", "eduQuestionType": "Multiple choice", //Question type "learningResourceType": "Practice problem", "name": "3-D COORDINATE GEOMETRY - 8",//ADD QUESTION NAME "text": "A plane Ï€ makes intercepts 3 and 4 respectively on z-axis and x-axis. If Ï€ is parallel to y-axis, then its equation i",//ADD THE QUESTION TEXT "comment": { "@type": "Comment", "Text": "This is a hint of question"//ADD HINT FOR QUESTIONS }, "encodingFormat": "text/markdown", "suggestedAnswer": [ //HERE PUT THE WRONG ANSWERS/OPTIONS { "@type": "Answer", "position": 0,//OPTION POSITION 0,1,2,3 "encodingFormat": "text/markdown", "text": "\$\$ 3z+4x=12\$\$ ",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint" //COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 2, "encodingFormat": "text/markdown", "text": "\$\$3y+4z=12 \$\$", //ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 3, "encodingFormat": "text/markdown", "text": "\$\$3z+4y=12 \$\$",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } ], "acceptedAnswer": { //HERE PUT THE CORRECT ANSWER "@type": "Answer", "position": 1, "encodingFormat": "text/markdown", "text": "\$\$3x+4z=12\$\$",//ADD THE ANSWER BETWEEN &#8220; &#8220; "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } }, { "@type": "Question", "eduQuestionType": "Multiple choice", //Question type "learningResourceType": "Practice problem", "name": "3-D COORDINATE GEOMETRY - 9",//ADD QUESTION NAME "text": "\$\$The length of the perpendicular from the origin to the plane passing through three non-collinear points a, b, c is\$\$",//ADD THE QUESTION TEXT "comment": { "@type": "Comment", "Text": "This is a hint of question"//ADD HINT FOR QUESTIONS }, "encodingFormat": "text/markdown", "suggestedAnswer": [ //HERE PUT THE WRONG ANSWERS/OPTIONS { "@type": "Answer", "position": 0,//OPTION POSITION 0,1,2,3 "encodingFormat": "text/markdown", "text": "None of these",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint" //COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 1, "encodingFormat": "text/markdown", "text": "\$\$2[a &#8407; b &#8407; c &#8407; ]/|a &#8407;&#215;b &#8407;+b &#8407;&#215;c &#8407;+c &#8407;&#215;a &#8407; | \$\$", //ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 2, "encodingFormat": "text/markdown", "text": "\$\$[a &#8407; b &#8407; c &#8407; ]\$\$",//ADD THE ANS(2, 2, 3)WER "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } ], "acceptedAnswer": { //HERE PUT THE CORRECT ANSWER "@type": "Answer", "position": 3, "encodingFormat": "text/markdown", "text": "\$\$[a &#8407; b &#8407; c &#8407; ]/|a &#8407;&#215;b &#8407;+c &#8407;&#215;a &#8407;+b &#8407;&#215;c &#8407; | \$\$",//ADD THE ANSWER BETWEEN &#8220; &#8220; "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } }, { "@type": "Question", "eduQuestionType": "Multiple choice", //Question type "learningResourceType": "Practice problem", "name": "3-D COORDINATE GEOMETRY - 10",//ADD QUESTION NAME "text": "\$\$If P3, 2, -4, Q(5, 4, -6) and R(9, 8, -10) are collinear, then R divides PQ in the ratio\$\$",//ADD THE QUESTION TEXT "comment": { "@type": "Comment", "Text": "This is a hint of question"//ADD HINT FOR QUESTIONS }, "encodingFormat": "text/markdown", "suggestedAnswer": [ //HERE PUT THE WRONG ANSWERS/OPTIONS { "@type": "Answer", "position": 0,//OPTION POSITION 0,1,2,3 "encodingFormat": "text/markdown", "text": "\$\$3&#8758;2 internally\$\$",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint" //COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 2, "encodingFormat": "text/markdown", "text": " \$\$ 2&#8758;1 internally\$\$", //ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//COMMENT FOR ANSWER } }, { "@type": "Answer", "position": 3, "encodingFormat": "text/markdown", "text": "\$\$2&#8758;1 externally\$\$",//ADD THE ANSWER "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } ], "acceptedAnswer": { //HERE PUT THE CORRECT ANSWER "@type": "Answer", "position": 1, "encodingFormat": "text/markdown", "text": "\$\$3 :2 externally\$\$",//ADD THE ANSWER BETWEEN &#8220; &#8220; "comment": { "@type": "Comment", "text": "This is a hint"//ADD COMMENT FOR ANSWER } } } //ADD &#8216;,&#8217;(COMMA) AND REPEAT THE ABOVE HIGHLIGHTED PART,TO MARKUP MORE QUESTIONS ] }

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BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET & IIT JEE COACHING: 3-D COORDINATE GEOMETRY QUIZ-4
3-D COORDINATE GEOMETRY QUIZ-4
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BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET & IIT JEE COACHING
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