Question

The product of the perpendiculars from the foci upon any tangent to the ellipse  is

Solution

Correct option is

b2

Any tangent to   is

                                   

P1P2 be length of ⊥ from foci

  

                 .

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

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

Q4

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

Q5

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

Q6

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

Q7

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

, then CP2 + CD2 =

Q8

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

Q9

The locus of the foot of the perpendiculars to any tangent of an ellipse from the foci is

Q10

If P and D are the extremities of a pair of conjugate diameters of the ellipse , then the locus of the middle point ofPD is