Salman deposits ₹ 1,000 every month in a recurring deposit account for 2 years. If he receives ₹ 26,000 on maturity, find :

(a) total interest Salman earns

(b) the rate of interest.

In the given figure O, is the center of the circle. CE is a tangent to the circle at A. If ∠ABD = 26°, then find :

(a) ∠BDA

(b) ∠BAD

(c) ∠CAD

(d) ∠ODB

Prove the following identity :

(sin² θ - 1)(tan² θ + 1) + 1 = 0

Use graph sheet to answer this question. Take 2 cm = 1 unit along both the axes.

(a) Plot A, B, C where A(0, 4), B(1, 1) and C(4, 0).

(b) Reflect A and B on the x-axis and name them as E and D respectively.

(c) Reflect B through the origin and name it F. Write down the coordinates of F.

(d) Reflect B and C on the y-axis and name them as H and G respectively.

(e) Join points A, B, C, D, E, F, G, H and A in order and name the closed figure formed.