Home
Class 12
MATHS
If the tangents to the ellipse at M and ...

If the tangents to the ellipse at M and N meet at R and the normal to the parabola at M meets the x-axis at Q, then the ratio of area of the triangle MQR to area of the quadrilateral MF1NF2 is

A

`(-(9)/(10),0)`

B

`((2)/(3),0)`

C

`((9)/(10),0)`

D

`((2)/(3),sqrt(6))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Let F_1(x_1,0) and F_2(x_2,0), for x_1 0, be the foci of the ellipse x^2/9+y^2/8=1 Suppose a parabola having vertex at the origin and focus at F_2 intersects the ellipse at point M in the first quadrant and at point N in the fourth quadrant. If the tangents to the ellipse at M and N meet at R and the normal to the parabola at M meets the x-axis at Q, then the ratio of area of the triangle MQR to area of the quadrilateral MF_1 NF_2 is

Consider the ellipse x^2/9+y^2/4=1 and the parabola y^2 = 2x. They intersect at P and Q In the first andfourth quadrants respectively. Tangents to the ellipse at P and Q intersect the x-axis at R and tangents to the parabola at P and Q intersect the x-axis at S The ratio of the areas of the triangles PQS and PQR, is

Consider the ellipse x^2/9+y^2/4=1 and the parabola y^2 = 2x They intersect at P and Q in the first andfourth quadrants respectively. Tangents to the ellipse at P and Q intersect the x-axis at R and tangents tothe parabola at P and Q intersect the x-axis at S.The ratio of the areas of the triangles PQS and PQR, is

Consider the circle x^2+y^2=9 and the parabola y^2=8x . They intersect at P and Q in the first and fourth quadrants, respectively. Tangents to the circle at P and Q intersect the X-axis at R and tangents to the parabola at P and Q intersect the X-axis at S. The ratio of the areas of trianglePQS" and "trianglePQR is

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are

In triangle ABC , the medians AD, BE and CF meet at O. What is the ratio of the area of triangle ABD to the area of triangle AOE ?