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^2`. 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 SINGLE OPTION CORRECT TYPE QUESTIONS|1 Videos
  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise For Session 1|10 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)|37 Videos

Similar Questions

Explore conceptually related problems

If the sum of the distances of a variable point from two perpendicular lines in a plane is 1, then its locus is :

Find the equation of the set of points P, the sum of whose distance from A(4,0,0) and B(-4,0,0) is equal to 10.

Find the locus of a point equidistant from the point (2,4) and the y-axis.

Find the locus of a point which is equidistant from the points (3,2,1) and (-1,2,3).

Find the distance of a point (6,0,0) from the plane 2x-3y+6z-2=0 .

Find the equation of the locus of all points, the sum of whose distances from (3, 0) and (9, 0) is 12.

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

Find the distance of the point (2,1,0) from the plane 2x+y+2z+5=0.

Find the equation of the straight line through two points : (0, 2) and (0,4).

The extremities of the base of an isosceles triangle are the points (2a, 0) and (0, a). The equation of one of the sides is x = 2a. Find the equations of the other two sides and the area of the triangle.