3.If `h(x)= (2+x^2)/(2- x^2)`, then `h'(1)`is
(a) 2 (b) 4 (c) 6 (d) 8

If x^(2)+(1)/(x^(2))=102, then x-(1)/(x)=8( b) 10 (c) 12 (d) 13

If x+sqrt(15)=4, then x+(1)/(x)=2(b)4(c)8 (d) 1

If 2x+y=5 and 3x-4y=2, then the value of 2xy is (a) 4 (b) 6 (c) 8 (d) 10

If 8^(x) = (4)/(2^(x)) then find x A)1 B)2 C) (1)/(2) D) (2)/(3)

The minimum value of f(x)=x^(4)-x^(2)-2x+6 is (a) 6 (b) 4 (c) 8 (d) none of these

IF ax^3+bx^2+cx+d = |(x^2,(x-1)^2, (x-2)^2),((x-1)^2 (x-2)^2, (x-3)^2), (x-2)^2, (x-3)^2, (x-4)^2)| , then d= (A) 1 (B) -8 (C) 0 (D) none of these

If (x+7)^(3)+(2x+8)^(3)+(2x+3)^(3)=3(x+7) (2x+8)(2x+3) , then what is the value of x? (a) -3.6 (b) .6 (c) 2.4 (d) -2.4

If x+(1)/(x)=2, then x^(3)+(1)/(x^(3))=64(b)14(c)8(d)2

If x=5+2sqrt(6), then sqrt((x)/(2))-(1)/(sqrt(2x))= (a) 1 (b) 2 (c) 3 (d) 4

STATEMENT - 1 : Let f be a twice differentiable function such that f'(x) = g(x) and f''(x) = - f (x) . If h'(x) = [f(x)]^(2) + [g (x)]^(2) , h(1) = 8 and h (0) =2 Rightarrow h(2) =14 and STATEMENT - 2 : h''(x)=0