Draw a right angled triangle whose two adjacent sides of the right angle are 4 cm and 5 cm. Construct the circumcircle of this triangle

Describe the process of drawing an incircle of a right-angled triangle.

Draw a triangle whose sides are of lengths 6 cm, 8 cm, and 10 cm. Draw the incircle of this triangle.

Draw a right-angled triangle of which two sides containing the right angle have the lengths 5 cm and 6 cm. Now draw an incircle of the triangle.

The lengths of sides containing the right angle of a right-angled triangle are given. Describe the procedure of construction of the circumcircle of the triangle.

Draw a right-angled triangle having two sides 4 cm and 8 cm length respectively, containing the right angle. Then draw the circumcircle of the right-angled triangle. (Only traces of construction are required.)

Asha buys ₹ 20 shares of a company which pays 9% dividend at such a price that she gets a return of 12% on her investment. At what price did she buy each share? (a) ₹ 20 (b) ₹ 15 (c) ₹ 25 (d) ₹ 18

The fourth term of a Geometric Progression (G.P.) is 16 and its seventh term is 128. Find its: (a) common ratio (b) first term

In the given figure ‘O’ is the centre of the circle. PQ is a tangent to the circle at B and AB = AC. If ∠CBQ = 40°, find the unknown angles x, y, z and w.

If A = and B = , then the order of AB is: (a) 2 × 2 (b) 2 × 1 (c) 1 × 2 (d) AB is not possible

Statement 1: The point which is equidistant from three non-collinear points D, E and F is the circumcentre of △DEF. Statement 2: The incentre of a triangle is the point where the bisectors of the angles intersect. (a) Both statements are true. (b) Both statements are false. (c) Statement 1 is true and Statement 2 is false. (d) Statement 1 is false and Statement 2 is true.

If A = , then A² is equal to: (a) (b) (c) (d)

Rohit and Vinay both opened a recurring deposit account in a bank for 2 years at 8% simple interest. Vinay deposited ₹ 300 per month. On maturity, Rohit’s interest was ₹ 800 more than Vinay’s interest. Find: (a) interest earned by Vinay. (b) sum deposited by Rohit every month.