Question

If latus rectum of the ellipse  is equal to

Solution

Correct option is

   

 .

SIMILAR QUESTIONS

Q1

Find the eccentricity of the ellipse, whose foci are (–3, 4) and (3, –4) and which passes through the point (1, 2)

Q2

If  is a tangent to the ellipse , then find out the eccentric angle of the point of tangency.

Q3

For what value of λ dose the line y = x + λ touches the ellipse 9x2 + 16y2 = 144.

Q4

Find the equations of the tangents to the ellipse 3x2 + 4y2 = 12 which perpendicular to the line y + 2x = 4.

Q5

Find the equation of pair of tangents drawn from the point (1, 2) and (2, 1) to the ellipse .

Q6

A tangent to the circle x2 + y= 5 at the point (–2, 1) intersect the ellipse  at the point A, B. If tangents to the ellipse at the point A and B intersect at point C. Find the coordinate of points C.

Q7

If the line 3y = 3x + 1 is a normal to the ellipse , then find out the length of the minor axis of the ellipse.

Q8

If SK be the perpendicular from the focus S on the tangent at any point P on the ellipse , then locus of K is 

Q9

The tangent and normal to the ellipse x2 + 4y2 = 4 at a point P(θ) in second quadrant, meet the major axis in Q and R respectively. If QR = 2, then cos θ is equal to

Q10

Find the locus of the point of intersection of the tangents to the ellipse , if the difference of the eccentric angle of their points of contact is 2α.