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As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Mathematics due to their ENGINEERING background.

Furthermore, sections such as Mathematics are dominantly based on theories, laws, numerical in comparison to a section of Engineering which is more of fact-based, Physics, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced.

Q1.
•  pqx2-pqx+p2+q2+4qp=0
•  p2q2x2-p2q2x+p3+q3-4pq=0
•  p3q3x2-p3q3x+p4+q4-4p2q2=0
•  (p+q)x2-(p+q)x+p2+q2=0
Solution
Q2. If tanÎ± and tanÎ² are roots of the equation x2+px+q=0 with p ≠ 0, then
•  sin2(Î±+Î²)+psin(Î±+Î²)cos(Î±+Î²)+qcos2(Î±+Î²)=q
•  tan(Î±+Î²)=p/(q+1)
•  cos(Î±+Î²)=-p
•  sin(Î±+Î²)=1-q
Solution

Q3.If z is a complex number in the Argand plane, then the equation |z-2|2+|z+2|2=8 represents
•  A parabola
•  An ellipse
•  A hyperbola
•  A circle
Solution
Q4. If (x+iy)1/3=2+3i, then 3x+2y is equal to
•  -20
•  -60
•  -120
•  60
Solution
Q5. The set of values of ′a′ for which x2+ax+sin-1,(x2-4x+5)+cos-1(x2-4x+5=0) has at least one real root is given by

•  R
•  None of these
Solution
Q6.If Î± and Î² are the roots of ax2+bx+c=0, then the equation ax2-bx(x-1)+c(x-1)2=0 has roots
•
•
•
•
Solution
Q7. The value of p for which the difference between the roots of the equation x2+px+8=0 is 2 are

•  ±2
•  ±4
•  ±6
•  ±8
Solution 7
Q8. If ax2+bx-c is divisible by x2+bx+c, then ′a′ is a root of the equation
• cx2-bx-1=0
• ax2-bx-1=0
•  bx2-ax-1=0
•  None of these
Solution
Q9. If secÎ± and cosecÎ± are the roots of the equation x2-px+q=0, then
•  p2=p+2q
•  q2=p+2q
•  p2=q(q+2)
• q2=p(p+2)
Solution
Q10. If Î±,Î²,Î³ are the roots of the equation x3+x+1=0, then the value of Î±3+Î²3+Î³3 is
•  0
•  3
•  -3
•  -1
Solution

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