Question

SECTION-1
ANSWER ANY TWO OF THE FOLLOWING QUESTIONS. (2x4=
1. If X = 2 - V3. Find the value of x2 +
2. 17-a + bv2. Then find the values of a and b
3. Simplify: Binin
SECTION-11​

Answer 1

if x= 2+sqrt3

then

1/x=2-sqrt3 (by rationaliztion)

then (x+1/x)^2 = X^2+(1/X)^2 +2*x*(1/X)

that is (2+sqrt3 +2-sqrt3)^2=x^2 +(1/x)^2+2

4^2 -2=x^2+(1/x)^2

i.e, 14 is the answer