Q3 of 47 Page 1

ABCD is a rectangle whose three vertices are B (4,0), C (4,3) and D (0,3). Calculate the length of one of its diagonals.

Given, CD = 3 units, BC = 4 units

[By Pythagoras theorem]

BD² = CD² + BC²

⇒ BD² = 3² + 4²

⸫ BD = √25 = 5 units

In a right-angled triangle ABC, right angled at B, BC = 12 cm and AB = 5 cm. Calculate the radius of the circle inscribed in the triangle.

In a family of 3 children, calculate the probability of having at least one boy.

A chord of a circle of radius 10 cm subtends a right angle at its centre. Calculate the length of the chord (in cm).

Find the values of p for which the quadratic equation 4x² + px + 3 = 0 has equal roots.