Home
Class 11
MATHS
An ellipse of eccentricity (2sqrt(2))/...

An ellipse of eccentricity `(2sqrt(2))/(3)` is inscribed in a circle . A point is chosen inside the cirlce at random. The probaboility that the point lies outside the ellipse is

A

a) 1/3

B

b) 2/3

C

c) 1/9

D

d) 2/9

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Three numbers are chosen at random without replacement from {1,2,3,....10}. The probability that the minimum of the chosen number is 3 or their maximum is 7 , is:

The equation of a circle of radius 5 which lies within the circle x^2+y^2+14x+10y-26=0 and touches it at the point (-1,3) is

The distance between the foci of an ellipse is 16 and eccentricity is 1/2. Length of the major axis of the ellipse is

Find the focal distances of the point P(5,4sqrt3) on the ellipse 16x^2+25y^2=1600 .

The ellipse x^2+""4y^2=""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

Area of the greatest rectangle that can be inscribed in the ellipse x^2/a^2+y^2/b^2=1 is

An ellipse drawn by taking a diameter of the circle (x-1)^(2)+y^(2)=1 as its semiminor axis and a diameter of the circle x^(2)+(y-2)^(2)=4 as its semi-major axis. If the centre of the ellipse is at the origin and its axes are the coordinate axes, then the equation of the ellipse is

All points lying inside the triangle formed by the points (1,3) ,(5,0) and (-1,2) satisfy

If the centre of a circle is (2a,a-7) ,then Find the value of a , if the circle passes through the point (11,-9) and has diameter 10sqrt(2) units .

The lines y = 2x + sqrt 76 and 2y + x=8 touch the ellipse (x ^(2))/(16 )+(y ^(2))/(12)=1. If the point of intersection of these two lines lie on a circle, whose centre coincides with the centre of that ellipse, then the equation of that circle is