## Conic Section Quiz-12

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.
•
•
•
•  None of these
Solution
Q2.
•  2
•  2√2
•  4
•  None of these
Solution
Q3.
•   A ellipse
•  A hyperbola
•  A circle
•  None of these
Solution

Q4.
•  Ellipse
•  Circle
•  Hyperbola
•  Parabola
Solution
Q5. S1,S2 foci of an ellipse of major axis of length 10 units and P is any point on the ellipse such that perimeter of triangle PS1S2 is 15. Then eccentricity of the ellipse is
•  0.5
•   0.25
•  0.28
•   0.75
Solution
Q6. The vertex of a parabola is the point (a,b) and latus rectum in of length l. If the axis of the parabola is along the positive direction of y-axis, then its equation is
•  >
•
•  >
•  >
Solution
Q7.
•  4√3
•  4
•  4√6/7
•  2√3
Solution
Q8. Radius of the tangent circle that can be dawn to pass through the point (0, 7), (0, 6) and touching the x-axis is
•   5/2
•  3/2
•  7/2
•  9/2
Solution
Q9.The locus of the midpoints of a chord of the circle x^2+y^2=4, which subtends a right angle at the origin, is
•  x+y=2
•  x^2+y^2=1
•  x^2+y^2=2
•  x+y=1
Solution
Q10.Any circle through the point of intersection of the lines x+√3 y=1 and √3x-y=2 if intersects these lines at points P and Q, then the angle subtended by the are PQ at its centre is
•   180°
•  90°
•   120°
•  Depends on centre and radius

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Conic Section Quiz-12