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

AI Generated Solution

Topper's Solved these Questions

COMPLEX NUMBERS
CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|9 Videos
CONTINUITY AND DIFFERENTIABILITY
CENGAGE ENGLISH|Exercise Comprehension Type|2 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 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.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions

A particle just clears a wall of height b at distance a and strikes...
Text Solution
|
Find the locus of a point, so that the join of (-5,1) and (3,2) subten...
Text Solution
|
The sum of the squares of the distances of a moving point from two ...
Text Solution
|
A B is a variable line sliding between the coordinate axes in such ...
Text Solution
|
A rod of length l slides with its ends on two perpendicular lines. ...
Text Solution
|
Find the locus of the point (t^2-t+1,t^2+t+1),t in R.
Text Solution
|
Find the locus of a point such that the sum of its distance from the...
Text Solution
|
Two points P(a,0) and Q(-a,0) are given. R is a variable point on o...
Text Solution
|
If the coordinates of a variable point P are (acostheta,bsintheta), wh...
Text Solution
|
Find the locus of a point whose distance from (a, 0) is equal to it...
Text Solution
|
The coordinates of the point A and B are (a,0) and (-a ,0), respecti...
Text Solution
|
The locus of the foot of perpendicular drawn from origin to a variabl...
Text Solution
|
A variable line through the point P(2,1) meets the axes at A an d B...
Text Solution
|
If A(cosalpha,sinalpha),B(sinalpha,-cosalpha),C(1,2) are the vertic...
Text Solution
|
Let A(2,-3) and B(-2,1) be the vertices of Delta A B Cdot If the ...
Text Solution
|
Convert the following points from polar coordinates to the correspon...
Text Solution
|
A straight line is drawn through P(3,4) to meet the axis of x and y...
Text Solution
|
A variable line passing through point P(2,1) meets the axes at A and...
Text Solution
|
A point moves such that the area of the triangle formed by it with ...
Text Solution
|
Find the locus of the point of intersection of lines xcosalpha+ysin...
Text Solution
|