The rod AC of a TV disc antenna is fixed at right angles to the wall AB and a rod CD is supporting the disc as shown in fig. 4. If AC = 1.5 m long and CD = 3 m, find (i) tan θ (ii) sec θ + cosec θ.

A die is thrown once. What is the probability of getting an even prime number?

In Fig. 2 DE || AC and DC || AP. Prove that

OR

In Fig, 3, two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that ∠PTQ = 2 ∠OPQ.

If a number x is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3. What is probability that x² ≤ 4?

Find the mean of the following distribution:

OR

Find the mode of the following data: