Home
Class 12
MATHS
The sum of the squares of the distances ...

The sum of the squares of the distances of a moving point from two fixed points (a,0) and `(-a ,0)` is equal to a constant quantity `2c^2dot` Find the equation to its locus.

Text Solution

Verified by Experts

The correct Answer is:
`= c^(2)-a^(2)`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|10 Videos
  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|19 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

The sum of the squares of the distances of a moving point from two fixed points (a ,0)a n d(-a ,0) is equal to a constant quantity 2c^2dot Find the equation to its locus.

The sum of the squares of the distances of a moving point from two fixed points (a,0) and (-a ,0) is equal to a constant quantity 2c dot Find the equation to its locus.

The difference of the distances of variable point from two given points (3,0) and (-3,0) is 4. Find the locus of the point.

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

If the sum of the distances of a moving point in a plane from the axes is 1, then find the locus of the point.

If the sum of the distances of a moving point in a plane from the axes is 1, then find the locus of the point.

If the sum of the squares of the distances of the point (x, y, z) from the points (a, 0, 0) and (-a, 0, 0) is 2c^(2) , then which are of the following is correct?

A point P is such that the sum of the squares of its distances from the two axes of co-ordinates is equal to the square of its distance from the line x-y=1 . Find the equation of the locus of P.

Find the locus of the point, the sum of whose distances from the points A(4,0,0)a n d\ B(-4,0,0) is equal to 10.

Find the locus of the point, the sum of whose distances from the points A(4,0,0)a n d\ B(-4,0,0) is equal to 10.