## Conic Section Quiz-35

In JEE exams, Conic section is one of the most important topic of Mathematics that comes under Coordinate Geometry, it has total of 15 percent weightage out of which 6% questions are asked in JEE mains and 9% in Advance.

Q1.  If point A and B are (1, 0) and B(0,1). If point C is on the circle x^2+y^2=1, then locus of the orthocenter of the triangle ABC is
•   x^2+y^2=4
•   x^2+y^2-x-y=0
•   x^2+y^2-2x-2y+1=0
•   x^2+y^2+2x-2y+1=0
Solution
Q2.  A man running round a race course notes that the sum of the distances of two flagposts from him is always 10 m and the distance between the flag posts is 8 m. Then the area of the path he encloses in square meters is
•  15Ï€
•  20Ï€
•  27Ï€
•  30Ï€
Q3.  Let P be any point on a dirextrix of an ellipse of eccentricity e. S be the corresponding focus and C the centre of the ellipse. The line PC meets the ellipse at A. The angel between PS and tangent at A is Î±, the Î± is equal to
•   tan^(-1)⁡e
•   Ï€/2
•   tan^(-1) (1-e^2 )
•   None of these
Solution

Q4.
Equation of incircle of equilateral triangle ABC where B≡(2,0)C≡(4,0) and A lies in fourth quadrant is
•   x^2+y^2-6x+2y/√3+9=0
•   x^2+y^2-6x-2y/√3+9=0
•   x^2+y^2+6x+2y/√3+9=0
•   None of these
Solution
Q5.  Axis of a parabola is y=x and vertex and focus are at a distance √2 and 2√2 Respectively from the origin. Then, equation of the parabola is
•  (x-y)^2=8(x+y-2)
•  (x+y)^2=2(x+y-2)
•  (x-y)^2=4(x+y-2)
•  (x+y)^2=2(x-y+2)
Solution
Q6.  The equation of the parabola whose focus is the point (0,0) and the tangent at the vertex is x-y+1=0 is
•   x^2+y^2-2xy-4x-4y-4=0
•   x^2+y^2-2xy+4x-4y-4=0
•   x^2+y^2+2xy-4x+4y-4=0
•   x^2+y^2+ 2xy-4x-4y+4=0
• Solution
Q7.  If tangents PQ and PR are drawn from variable point P to the hyperbola x^2/a^2 -y^2/b^2 =1(a>b) so that the fourth vertex S of parallelogram PQSR lies on circumcircle of triangle PQR, then locus of P is
•   x^2+y^2=b^2
•   x^2+y^2=a^2
•  x^2+y^2=(a^2-b^2)
•   None of these
Q8.  Locus of the point √(3h,) √(3k+2 ) if it lies on the line x-y-1=0 is a
•  Straight line
•  Circle
•  Parabola
•  None of these
Solution
Q9. Asymptotes of the hyperbola x^2/(a_1^2 )-y^2/(b_1^2 )=1 and x^2/(a_2^2 )-y^2/(b_2^2 )=1 are perpendicular to each other, then
•   a_1/a_2 =b_1/b_2
•   a_1 a_2=b_1 b_2
•   a_1 a_2+b_1 b_2=0
•   a_1-a_2=b_1-b_2
Solution
Q10. The set of values of m for which it is possible to draw the chord y=√m x+1 to the curve x^2+2xy+(2+sin^2⁡Î± ) y^2=1, which subtends a right angle at the origin for some value of Î± is
•  [2,3]
•  [0,1]
•  [1,3]
•  None of these
Solution

#### Written by: AUTHORNAME

AUTHORDESCRIPTION

## Want to know more

Please fill in the details below:

## Latest NEET Articles\$type=three\$c=3\$author=hide\$comment=hide\$rm=hide\$date=hide\$snippet=hide

Name

ltr
item
BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET & IIT JEE COACHING: Conic Section Quiz-35
Conic Section Quiz-35
https://1.bp.blogspot.com/-6y-o3yUMiv4/YPPUvdMoF4I/AAAAAAAAYMM/-vCEqA5G7yc-fX1a6-PBbe734bSQkl_4wCLcBGAsYHQ/s320/35.jpg
https://1.bp.blogspot.com/-6y-o3yUMiv4/YPPUvdMoF4I/AAAAAAAAYMM/-vCEqA5G7yc-fX1a6-PBbe734bSQkl_4wCLcBGAsYHQ/s72-c/35.jpg
BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET & IIT JEE COACHING
https://www.cleariitmedical.com/2021/07/conic-section-quiz-35.html
https://www.cleariitmedical.com/
https://www.cleariitmedical.com/
https://www.cleariitmedical.com/2021/07/conic-section-quiz-35.html
true
7783647550433378923
UTF-8

STAY CONNECTED