If `a^2+b^2+c^2=1,` what is the maximum value of abc? `1/3` (b) `1/(3sqrt(3))` (c) `2/(sqrt(3))` (d) 1

If theta=pi/3, then the volume of pyramid is 1/(sqrt(3)) (b) 1/(3sqrt(2)) (c) 1/(2sqrt(3)) (d) 1/(sqrt(2))

Suppose a ,b, and c are in A.P. and a^2, b^2 and c^2 are in G.P. If a

If 4\ cos^(-1)x+sin^(-1)x=pi , then the value of x is (a) 3/2 (b) 1/(sqrt(2)) (c) (sqrt(3))/2 (d) 2/(sqrt(3))

If mean value theorem holds good for the function f(x)=(x-1)/(x) on the interval [1,3] then the value of 'c' is 2 (b) (1)/(sqrt(3))( c) (2)/(sqrt(3))(d)sqrt(3)

if Agt0,Bgt0 and A+B=pi/3 then the maximum value of tanA.tanB is (a) 1/sqrt3 (b) 1/3 (c) 1/2 (d) sqrt3

What is the value of (1)/(sqrt(5)+sqrt(3))+(2)/(3+sqrt(5))-(3)/(3+sqrt(3))?-(1)/(2) (b) 0( c) (1)/(2)(d)1

If matrix A=[[2,b,1b,b^(2)+1,b1,b,2]] Then minimum value of (|A|)/(b) is equal to (a) 2sqrt(3)(b)-2sqrt(3)(c)sqrt(3)(d)-sqrt(3)

Maximum value of |z+1+i|, where z in S is (a) sqrt(2) (b) 2 (c) 2sqrt(2) (d) 3sqrt(2)

The value of (1-tan^2 15^@)/(1+tan^2 15^@)= (A) 1 (B) sqrt(3) (C) sqrt(3)/2 (D) 2

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