Question

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

Solution

Correct option is

 

The quation of any tangent to the given ellipse is

                 

This line meets the coordinate axes at   

         

  

.

SIMILAR QUESTIONS

Q1

 

A straight line PQ touches the ellipse  and the circle x2 + y2 = r(b < r < a). RS is a focal chord of the ellipse. If RSis parallel to PQ and meets the circle at points R and S. Find the length of RS

Q2

If α and β are the eccentric angles of the extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is 

Q3

, then the chord joining two points θ1 and θ2 on the ellipse  will subtend a right angle at

Q4

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

Q5

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

Q6

, then PF1 + PF2 equals

Q7

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

Q8

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 

Q9

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

Q10

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