Conic Sections Class 11 MCQs Questions with Answers

1. If (a, b) is the mid point of a chord passing through the vertex of the parabola y² = 4x, then

2. An ellipse is such that the length of the latus rectum is equal to the sum of the lengths of its semi principal axes. Then

3. The line lx + my + n = 0 will touches the parabola y² = 4ax if

4. The equation of the line passing through the centre and bisecting the chord 7x +y -1 = 0 of the ellipse 

5. An ellipse is sliding along the co-ordinate axes. If the foci of the ellipse are (1,1) and (3,3), then area of the director circle of the ellipse (in sq. units) is

6. The equation of parabola whose focus is (3, 0) and directrix is 3x + 4y = 1 is

7. The equation of a hyperbola with foci on the x-axis is

8. The center of the circle 4x² + 4y² – 8x + 12y – 25 = 0 is?

9. The parametric representation (2 + t², 2t + 1) represents

10. A rod of length 12 CM moves with its and always touching the co-ordinate Axes. Then the equation of the locus of a point P on the road which is 3 cm from the end in contact with the x-axis is

11. If a parabolic reflector is 20 cm in diameter and 5 cm deep then the focus of parabolic reflector is

12. The equation 9x² – 16y² – 18x + 32y – 15 = 0 represent a hyperbola

13. The tangents to the parabola x = y² + c from origin are perpendicular then c is equal to

14. The equation of parabola with vertex (-2, 1) and focus (-2, 4) is

15. The radius of the circle 4x² + 4y² – 8x + 12y – 25 = 0 is?