You need to take n arbitrary points on or inside a square of side 2 cm such that there will always be a pair of points at a distance of not more than `sqrt2` cm.What is the minimum value of n?

In the given figure, ABCD is a square whose side is 4 cm. P is a point on the side AD. What is the minimum value (in cm) of BP+CP ?

Side of a hexagon is 4cm . Side of a square is 4sqrt(2) cm . What is the ratio of their areas ?

The longest side of a triangle is twice the shortest side and the third side is 2 cm longer than the shortest side. If the perimeter of the triangle is more than 166 cm, then find the minimum length of the shortest side.

The longest side of a triangle is twice the shortest side and the third side is 2 cm longer than the shortest side. If the perimeter of the triangle is more than 166 cm, then find the minimum length of the shortest side.

Describe the locus of point at distances less than or equal to 2.5 cm from a given point.

Diagonal of a square is 10 sqrt 2 cm. Find its side.

What is the locus of a point in space, which is always at a distance of 4 cm from a fixed point ?