Question

If CP and CD is a pair of semi-conjugate diameters of the ellipse,

, then CP2 + CD2 =

Solution

Correct option is

a2 + b2

(10, 0) 

     (CPCD2 =  a2 + b2).

SIMILAR QUESTIONS

Q1

The equation  represents an ellipse, if

Q2

S and T are the foci of an ellipse and B is an end of the minor axis. If STB is an equilateral triangle, the eccentricity of the ellipse is 

Q3

The locus of mid-points of focal chords of the ellipse  is 

Q4

If  touches the ellipse , then its eccentricity angle θ is equal to

Q5

If the polar with respect to the parabola y2 = 4ax touches the ellipse , then the locus of its pole is  

Q6

The locus of mid-point of the portions of the tangents to the ellipse  included between the axes is the curve 

Q7

The area of the parallelogram formed by tangents at the extremities of two conjugate diameters of the ellipse  is equal to

Q8

If the angle between the straight lines joining foci and the ends of minor axis of the ellipse  is 900 then the eccentricity is

Q9

The tangent and the normal to the ellipse x2 + 4y2 = 4 at a point P on it meet the major axis in Q and R respectively. If QR = 2, then the eccentric angle of P is

Q10

The line y = 2t2 meets the ellipse  in real point if