The two vowels touch each other internally. Their radii are 2 cm and 3 cm. What will be the length of the largest chord of the bigger circle outside the inner circle?

For an equilateral triangle, the ratio of the in-radius and the outer- radius is

The diameter of the circle with center O is AB. PQ is the chord that does not intersect AB. Join AP and BQ. If ∠BAP = ∠ABQ,  then what will be ABQP?

If the circumradius of an equilateral triangle be 10 cm, then the measure of its in-radius is

In △ABC, M and N are the points on side BC such that AM ⊥ BC, AN is the bisector of ∠A, and M lies between B and N. If ∠B = 68°, and ∠C=26°, then the measure of ∠MAN is:

The side of a trapezium pyramid with a square base is 24 cm. and its height is 5 cm. What will be the area of its oblique surface in cm²?

The area of the triangle whose vertices are given by the coordinates (1, 2), (-4, -3) and (4, 1) is:

'The total surface area of a cube is 600 sq cm, what will be the length of its diagonal?