## Question

### Solution

Correct option is

3/5

We have

Now,

#### SIMILAR QUESTIONS

Q1

The locus of the point of intersection of tangents to an ellipse at two points, sum of whose eccentric angles is constant is a/an

Q2

The number of values of c such that the straight line y = 4x + ctouches the curve , is

Q3

, then PF1 + PF2 equals

Q4

An ellipse slides between two perpendicular straight lines. Then, the locus of its centre is a/an

Q5

The sum of the squares of the perpendicular on any tangent to the ellipse  from two points on the minor axis, each at a distance  from the centre is

Q6

The eccentric angle of a point on the ellipse  whose distance from the centre of the ellipse is 2, is

Q7

If any tangent to the ellipse  intercepts equal length lon the axes, then =

Q8

The ellipse x2 + 4y2 = 4 is inscribed in a rectangle aligned with the coordinate axes, which in turn is inscribed in another ellipse that passes through the point (4, 0). Then, the equation of the ellipse is

Q9

A focus of an ellipse is at the origin. The directrix is the line  x = 4 and the eccentricity is 1/2. Then the length of the semi-major axis, is

Q10

The tangent at a point  meets the auxiliany circle in two points. The chord joining them subtends a right angle at the centre. Then, the eccentricity of the ellipse is given by