Find the area of circle whose circumference is 22 cm.

Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

Show that tan 48° tan 23° tan 42° tan 67° = 1.

OR

Evaluate cos 48° cos 42° - sin 48° sin 42°

Read the following passage and answer the questions that follows:

A teacher told 10 students to write a polynomial on the black board.

Students wrote

1. x² + 2

2. 2x + 3

3. x³ + x² + 1

4. x³ + 2x² + 1

5. x² – 2x + 1

6. x – 3

7. x⁴ + x² + 1

8. x² + 2x + 1

9. 2x³ – x²

10. x⁴ – 1

(i) How many students wrote cubic polynomial

(ii) Divide the polynomial (x² + 2x + 1) by (x + 1)

Find the zeroes of the quadratic polynomial x² – 3x – 10 and verify the relationship between the zeroes and coefficient.