Home
Class 12
MATHS
The sum of the distaces of a moving poin...

The sum of the distaces of a moving point from the points `(5,0,0)` and `(-5,0,0)` is always 20 unit. Find the equation to the locus of the moving point.

Text Solution

Verified by Experts

The correct Answer is:
`3x^(2)+4y^(2)+4z^(2)=300` which is the required equatiion to the locus of the movig point.
NA
Promotional Banner

Similar Questions

Explore conceptually related problems

The sum of the distances of a moving point from the points (5 , 0 , 0) and ( - 5 , 0 , 0) is always 20 unit . Find the equation to the locus of the moving point .

The sum of the distances of a moving point from the points (c,0) and (-c,0) is always 2a unit (agtc) . Find the equation to the locus of the moving point.

The sum of the distances of a moving point from the points (c,0)and (-c,0) is always 2a unit (a>c).Find the equation to the locus of the moving point.

The sum of the distances of a moving point from the points (3,0) and (-3,0) is always equal to 12 . Find the equation to the locus and identify the conic represented by the equation.

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.

The numercal value of the product of the perpendicular distances of a moving point form the lines 4x - 3y + 11 = 0 and 4x + 3y + 5 = 0 is (144)/(25) . Find the equation to the locus of the moving point.

The ratio of the distances of a moving point from the points (3,4) and (1,-2) is 2:3 , find the locus of the moving point.

A point movs in such a manner that the sum of the squares of its distances from the points (a,0) and (-a, 0) is 2b^(2). Then the locus of the moving point is-

A point moves on a plane is such a manner that the sum of its istances from the points (5,0) and (-5,0) is always constant and equal to 26 . Show that the locus of the moving point is the ellipse (x^(2))/(169) + (y^(2))/ (144)=1 .

A moving point is always collinear with the point (2,-1) and (3,4) , find the equation to the locus of the moving point