## Conic Sections

Q1. The equation of parabola with vetex at origin the axis is along x-axis and passing through the point (2, 3) is

(a) y² = 9x

(b) y² = 9x/2

(c) y² = 2x

(b) y² = 2x/9

Answer: (b) y² = 9x/2

Q2. At what point of the parabola x² = 9y is the abscissa three times that of ordinate

(a) (1, 1)

(b) (3, 1)

(c) (-3, 1)

(d) (-3, -3)

Answer: (b) (3, 1)

Q3. In an ellipse, the distance between its foci is 6 and its minor axis is 8 then its eccentricity is

(a) 4/5

(b) 1/√52

(c) 3/5

(d) 1/2

Answer: (c) 3/5

Q4. The radius of the circle 4x² + 4y² – 8x + 12y – 25 = 0 is?

(a) √57/4

(b) √77/4

(c) √77/2

(d) √87/4

Answer: (c) √77/2

Q5. The center of the circle 4x² + 4y² – 8x + 12y – 25 = 0 is?

(a) (2,-3)

(b) (-2,3)

(c) (-4,6)

(d) (4,-6)

Answer: (a) (2,-3)