1. If x = root 2 + 1/root 2 - 1 and y = root 2 - 1/ root 2 + 1 then find the value of x

2. Find an irrational no. between 1/7 and 2/7.

3. Find the value of a and b so that (x+1) and (x-1) are the factor of x

4. Find the value of the polynomial 5x - 4x

5. Write 3x + 2y = 18 in the form of y = mx + c. Find the value of m and c. Is (4,3) lie on this linear equation?

6. Find the solution of the linear equation 3x + 4y = 12 which represent a point on (i) x-axis (ii) y-axis.

7. In triangle ABC,BO and CO are the bisector of angle B and angle C respectively. Prove that angle BOC = 90 degree + angle A/2.

8. Prove that angles opposite to equal sides of an isosceles triangles are equal.

9. In parallelogram ABCD, AO and BO are the bisector of angle A and angle B respectively. Prove that angle AOB = 90 degree.

10. Solve the following equations by using Euclid's Axiom :-

(i) x - 15 = 25

(ii) 2x - 1 = 11

(iii) a/5 = 10

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