In the given figure O is the centre of the circle,∠BAD = 75° and chord BC = chord CD. Find: (i) ∠BOC (ii) ∠OBD (iii) ∠BCD.

Find the mean, median and mode of the following distribution:
8, 10, 7, 6, 10, 11, 6, 13, 10.

Without using trigonometric tables evaluate the following: $$\frac{\sec 17° }{cosec 73 °} + \frac{\tan 68°}{\cot 22 °} + \cos^2 44° + \cos^2 46°$$

AC and BD are two perpendicular diameters of a circle with centre O. If AC = 16 cm, calculate the area and perimeter of the shaded part. (Take ``\pi = 3.14``)

A shopkeeper bought a TV at a discount of 30% of the listed price of Rs. 24,000. The shopkeeper offers a discount of 10% of the listed price to his customer. If the VAT (Value Added Tax) is 10%.
Find: (i) the amount paid by the customer.

the VAT to be paid by the shopkeeper.

Solve the following quadratic equation and give the answer correct to two significant figures.
``4x^2- 7x + 2 = 0``

Use graph paper to answer this question.

Plot the points A (4, 6) and B (1, 2).

A' is the image of A when reflected in X-axis.

B' is the image of B when B is reflected in the line AA'.

Give the geometrical name for the figure ABA'B'.