plz solve & answer the following: 1. If x = root 2 + 1/root 2 - 1 and y = root 2 - 1/ root 2 + 1 then find the value of x3 + 1/x3 . 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 x4 + ax3 + 2x2 - 3x + b. 4. Find the value of the polynomial 5x - 4x2 + 3 when x = -1. 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
