## Conic Section Quiz-16

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. Which one of the following equations represented parametrically equation to a parabolic curve
•  x=3 cos⁡t;y=4 sin⁡t
•  x2-2=2 cos⁡t;y=4 cos2⁡t/2
•  √x= tan⁡t; √y =sec⁡t
•  x= √(1-sin⁡t ) ; y=sin⁡t/2+cos⁡t/2
Solution
Q2. The latus rectum of the hyperbola 9x2-16y2-18x-32y-151=0 is
•  9/4
•  9
•  3/2
•  9/2
Solution
Q3. Parabolas y2⁡=4a(x-c1 ) and x2⁡=4a(y-c2 ), where c1and c2 are variable, are such that they touch each other. Locus of their point of contact is
•  xy=2a2
•  xy=4a2
•  xy=a2
•  None of these
Solution

Q4.   Let d1 and d2 be the lengths of the perpendicular drawn from foci S and S' of the ellipse x2⁡/a2⁡ +y2⁡/b2⁡ =1 to the tangent at any point Pon the ellipse. Then, SP:S'P=
•  d1:d2
•  d2:d1
•  d12:d22
•  √(d1 )/√(d2 )
Solution
Q5. The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x2+9y2=9 meets its auxiliary circle at the point M. Then, the area of the triangle with vertices at A,M and the origin O is
•  31/10
•  29/10
•  21/10
•  27/10
Solution
Q6. If the tangent at the point P(2,4) to the parabola y2=8x meets the parabola y2=8x+5 at Q and R then the midpoint of QR is
•  (4, 2)
•  (2, 4)
•  (7, 9)
•  None of these
Solution
Q7. A circle of constant radius 'a' passes through origin 'O' and cuts the axes of co-ordinates in points P and Q, then the equation of the locus of the foot of perpendicular from O to PQ is
•  (x2+y2 )(1/x2 +1/y2 )=4a2
•  (x2+y2 )2 (1/x2 +1/y2)=a2
•  (x2+y2 )2 (1/x2 +1/y2)=4a2
•  (x2+y2 )(1/x2 +1/y2 )=a2
Solution
Q8. The condition that the chord x cos⁡ a+ y sin⁡Î±-p=0 of x2+y2-a2=0 may subtend a right angle at the centre of the circle is
•  a2=2p2
•  p2=2a2
•  a=2p
•   p=2a
Solution
Q9.Six points (xi,yi ),i=1,2,…,6 are taken on the circle x2+y2=4 such that ∑_(i=1)6xi=8 and ∑_(i=1)6yi=4. The line segment joining orthocenter of a triangle made by any three points and the centroid of the triangle made by other three points passes through a fixed points (h,k), then h+k is
•  1
•  2
•  3
•  4
Solution
Q10.An equation for the line that passes through (10,-1) and is perpendicular to y=x2/4-2 is
•  4x+y=39
•  2x+y=19
•  x+y=9
•  x+2y=8

#### 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 INSTITUTE: Conic Section Quiz-16
Conic Section Quiz-16
https://1.bp.blogspot.com/-4-_k7jBKzxU/YPPbHAtup-I/AAAAAAAAYPw/ktaaSDPTmccokf9cMNsuoYsphDuuYFG9QCLcBGAsYHQ/s0/16.jpg
https://1.bp.blogspot.com/-4-_k7jBKzxU/YPPbHAtup-I/AAAAAAAAYPw/ktaaSDPTmccokf9cMNsuoYsphDuuYFG9QCLcBGAsYHQ/s72-c/16.jpg
BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET, IIT JEE COACHING INSTITUTE
https://www.cleariitmedical.com/2021/07/conic-section-quiz-16.html
https://www.cleariitmedical.com/
https://www.cleariitmedical.com/
https://www.cleariitmedical.com/2021/07/conic-section-quiz-16.html
true
7783647550433378923
UTF-8