Related InterviewSolutions

• Find the length of major axis and minor axis of the ellipse 16x2 + 25y2 = 400.
• The equation of the ellipse is 16x2 + 25y2 = 400. The equations of the tangents making an angle of 180° with the major axis are (A) x = 4 (B) y = ±4 (C) x = -4 (D) x = ±5
• Find the equation of the circle which passes through (2, -2) and (3, 4) and whose centre lies on the line x + y = 2.
• Equation of directrix of parabola x2 =- 8y is :(A) y = -2(B) y = 2(C) x = 2(D) x = – 2
• A conic section will be parabola if:(A) e = 0(B) e < 0(C) e > 0(D) e = 1
• If line 2y – x = 2 touches the parabola y2 = 2x then tangent point is :(A) (4, 3)(B) (-4, 1)(C) (2, 2)(D) (1, 4)
• Find the equation of circle with radius r, whose centre lies in 1st quadrant and touches y-axis at a distance of h from the origin. Find the equation of other tangent which passes through origin.
• Find the equation of tangents which are drawn from point (4, 10) to parabola y2 = 8x.
• If line y = mx + c touches the ellipse x2/a2 + y2/b2 = 1, then value of c will be:(A) c = a/m(B) c = ±√ (a2m2 - b2)(C) c = ±√ (a2m2 + b2)(D) c = a√ (1 + m2)
• Show that line x – 3y – 4 = 0 touches ellipse 3x2 + 4y2 = 20.