If the sum of the squares of the distance of a point from the three coordinate axes is 36, then find its distance from the origin.

Find the distance of point Z(-2.4, -1) from the origin.

Distance of point (-3, 4) from the origin is ________

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.

In triangle ABC, a = 4 and b = c = 2 sqrt(2) . A point P moves within the triangle such that the square of its distance from BC is half the area of rectangle contained by its distance from the other two sides. If D be the centre of locus of P, then

Prove that the locus of the point that moves such that the sum of the squares of its distances from the three vertices of a triangle is constant is a circle.

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.

Find the distance of the point P(a ,b ,c) from the x-axis.

A point moves such that the sum of the squares of its distances from the two sides of length ‘a’ of a rectangle is twice the sum of the squares of its distances from the other two sides of length b. The locus of the point can be:

If the length of a chord decreases, then its distance from the centre __________

Find the coordinates of a point the parabola y^(2)=8x whose distance from the focus is 10.