Home
Class 12
MATHS
Show that the equation of the locus of a...

Show that the equation of the locus of a point which moves so that the sum of its distance from two given points `(k, 0) and (-k, 0)` is equal to `2a` is : `x^2/a^2 + y^2/(a^2 - k^2) =1`

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the locus of a point such that the sum of its distance from the points (0,2) and (0,-2) is 6.

Find the locus of a point such that the sum of its distances from the points (0,2) and (0,-2) is 6.

Find the equation of the locus of a point which moves such that the ratio of its distances from (2,0) and (1,3) is 5:4.

If the locus of the point which moves so that the difference (p)0 of its distance from the points (5,0) and (-5,0) is 2 is (x^(2))/(a^(2))-(y^(2))/(24)=1 then a is

A point moves so that the sum of squares of its distances from the points (1,2) and (-2,1) is always 6. then its locus is

The equation of the locus of a point which moves so that its distance from the point (ak, 0) is k times its distance from the point ((a)/(k),0) (k ne 1) is

The locus of the point which moves such that the ratio of its distance from two fixed point in the plane is always a constant k(< 1) is

If the sum of the distances of a moving point from two fixed points (ae, 0) and (-ae, 0) be 2a , prove that the locus of the point is: x^2/a^2+ y^2/(a^2 (1-e^2) =1