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|Exercise Exercise For Session 1|10 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise For Session 2|19 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

  • DEFINITE INTEGRAL

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

Similar Questions

Explore conceptually related problems

Condition when donot involve a variable: ( i ) The sum of the square of the distances of a moving point from two fixed point (a;0) and (-a;0) is equal to the constant quantity 2c^(2). 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^(2). 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^(2) Find the equation to its locus.

Sum of the squares of the distances from a point to (c,0) and (-c,0) is 4c^(2) .Its locus 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

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

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?