Home
Class 12
MATHS
The equation of the set of points P, the...

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

Text Solution

Verified by Experts

The correct Answer is:
`9x^2 + 25y^2+25z^2-225=0`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|19 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|9 Videos

  • INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS|34 Videos

  • LIMITS AND DERIVATIVES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|20 Videos

Similar Questions

Explore conceptually related problems

Find the locus of a point which divides so that the sum of its distances from (-4,0) and (4,0) is 10 units.

i. Find the coordinates of the point which trisect the line segment joining the points P(4,0,1) and Q(2,4,0) . (ii) Find the locus of the set of points P such that the distance from A(2,3,4) is equal to twice the distance from B(-2,1,2) .

What is the distance between A (4,0) and B (8, 0).

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.

A variable line moves in such a way that the product of the perpendiculars from (4, 0) and (0, 0) is equal to 9. The locus of the feet of the perpendicular from (0, 0) upon the variable line is a circle, the square of whose radius is

Find the locus of a point whose distance from (a, 0) is equal to its distance from the y-axis.

Find the locus of a point, the sum of squares of whose distance from the planes x-z=0,x-2y+z=0 and x+y+z=0 is 36

Find the locus of a point p moves such that its distance from two fixed point A(1,0) and B (5,0) , are always equal .

Find the locus of a point, the sum of squares of whose distance from the planes x-z=0,x-2y+z=0a n dx+y+z=0i s36 .

The sum of the distance of a moving point from the points (4,0) and (-4,0) is always 10 units. Find the equation to the locus of the moving point.