Question

Solution

Correct option is

6936

Let the equation of the ellipse be where a2 = (68)2and b2 = (68)2 vertices of the lateral recta are Area of the rectangle formed by joining these points = 6936.

SIMILAR QUESTIONS

Q1

If L is the chord of contact of the hyperbola H, then the equation of the corresponding pair of tangents is

Q2

If R is the point of intersection of the tangents to H at the extremities  of the chord L, then equation of the chord contact of with respect to the parabola P is

Q3

If the chord of contact of R with respect to the parabola Pmeets the parabola at T and T’, S is the focus of the parabola, then Area of the triangle STT’ is equal to

Q4

Tangent are drawn from any point on the hyperbola to the circle x2 + y2 = 9. If the locus of the mid-point of the chord of contact is

Q5

If l is the length of the intercept made by a common tangent to the circle x2 + y= 16 and the ellipse , on the coordinate axes, then 81l2+ 3 is equal to

Q6

If d is the length of the tangent from the point (100, 81) to the ellipse , then d2 is equal to

Q7

The point of intersection of the perpendicular tangents to the ellipse lies on a circle square of whose radius is

Q8

If x + y = k is a normal to the parabola y2 = 12xp is the length of the perpendicular from the focus of the parabola on this normal; then 3k2 + 2p2 is equal to

Q9

If CF is perpendicular from the center C of the ellipse on the tangent at any point P, and G is the point where the normal at P meets the minor axis, then (CF. PG)2 is equal to

Q10

If e1 is the eccentricity of the ellipse and eis the eccentricity of the hyperbola and e1e2 = 1, then b2 is equal to