List of top Mathematics Questions on Distance Formula

The distance between the points \(P(-2, 5)\) and \(Q(5, -2)\) is

The distance between the points \(P(-4, 5)\) and \(Q(-1, 2)\) is

If A(a, 0), B(1, 1) and C(0, b) form a triangle, right angled at B when joined, then establish a relation between a and b.

The distance between the points \((-2, 5)\) and \((5, -2)\) is

Distance between \(A(1,2,3)\) and \(B(4,6,3)\):

The distance between the points $ (0, 0) $ and $ (6, 5) $ is

Find the image \( A' \) of the point \( A(1, 6, 3) \) in the line \( \frac{x - 1}{1} = \frac{y - 1}{2} = \frac{z - 2}{3} \). Also, find the equation of the line joining \( A \) and \( A' \).

Find a point \( P \) on the line \( \frac{x + 5}{1} = \frac{y + 3}{4} = \frac{z - 6}{-9} \) such that its distance from point \( Q(2, 4, -1) \) is 7 units. Also, find the equation of the line joining \( P \) and \( Q \).