Home
Class 12
MATHS
A point P lies on the ellipe ((y-1)^(2))...

A point P lies on the ellipe `((y-1)^(2))/(64)+((x+2)^(2))/(49)=1` . If the distance of P from one focus is 10 units, then find its distance from other focus.

Text Solution

Verified by Experts

The correct Answer is:
6

for given ellipse a=7 and b=8.
Let P be any point on the ellipse, then SP+S'P=2b=16
Givn SP=10 then SP=6
Promotional Banner

Similar Questions

Explore conceptually related problems

The is a point P on the hyperbola (x^(2))/(16)-(y^(2))/(6)=1 such that its distance from the right directrix is the average of its distance from the two foci. Then the x-coordinate of P is

If y=2x+3 is a tangent to the parabola y^2=24 x , then find its distance from the parallel normal.

At a point P on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 tangents PQ is drawn. If the point Q be at a distance (1)/(p) from the point P, where 'p' is distance of the tangent from the origin, then the locus of the point Q is

Find the coordinates of a point the parabola y^(2)=8x whose distance from the focus is 10.

The eccentric angle of a point on the ellipse (x^2)/4+(y^2)/3=1 at a distance of 5/4 units from the focus on the positive x-axis is cos^(-1)(3/4) (b) pi-cos^(-1)(3/4) pi+cos^(-1)(3/4) (d) none of these

Find the distance of point Z(-2.4, -1) from the origin.

In triangle ABC, a = 4 and b = c = 2 sqrt(2) . A point P moves within the triangle such that the square of its distance from BC is half the area of rectangle contained by its distance from the other two sides. If D be the centre of locus of P, then

If the distances of one focus of hyperbola from its directrices are 5 and 3, then its eccentricity is

Find the distance of the point P(a ,b ,c) from the x-axis.