Given `b=2,c=sqrt(3),/_A=30^0` , then inradius of ` A B C` is `(sqrt(3)-1)/2` (b) `(sqrt(3)+1)/2` (c) `(sqrt(3)-1)/4` (d) `non eoft h e s e`

Given b = 2, c = sqrt3, angle A = 30^(@) , then inradius of DeltaABC is

(sqrt(3)-(1)/(sqrt(3)))^(2) simplifies to (3)/(4)(b)(4)/(sqrt(3))(c)(4)/(3) (d) None of these

The rationalisation factor of sqrt(3) is -sqrt(3) (b) (1)/(sqrt(3))(c)2sqrt(3)(d)-2sqrt(3)

The value of cot70^(@)+4cos70^(@) is (a) (1)/(sqrt(3)) (b) sqrt(3)(c)2sqrt(3)(d)(1)/(2)

Let y=1/(2+1/(3+1/(2+1/(3+....), the value of y is: a. +-sqrt(15-3)/2 b. sqrt(15-3)/2 c. sqrt(15+3)/2 d. None of these

Let y=1/(2+1/(3+1/(2+1/(3+....), the value of y is: a. +-sqrt(15-3)/2 b. sqrt(15-3)/2 c. sqrt(15+3)/2 d. None of these

A B C D is a square of side 4 cm. If E is a point in the interior of the square such that C E D is equilateral, then area of A C E is (a) 2(sqrt(3)-1)c m^2 (b) 4(sqrt(3)-1)c m^2 (c) 6(sqrt(3)-1)c m^2 (d) 8(sqrt(3)-1)c m^2

If tan^(-1)(a+x)/a+tan^(-1)(a-x)/a=pi/6,t h e nx^2= 2sqrt(3)a (b) sqrt(3)a (c) 2sqrt(3)a^2 (d) none of these

The value of lim_(x rarr2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2) is (1)/(8sqrt(3))(b)(1)/(4sqrt(3)) (c) 0 (d) none of these

The value of sin(1/4sin^(-1)(sqrt(63))/8) is 1/(sqrt(2)) (b) 1/(sqrt(3)) (c) 1/(2sqrt(2)) (d) 1/(3sqrt(3))