If `3^(-x ) = 2^x` , then x =
( a ) 1
( b ) -1
( c ) 0
( d ) none

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 f(x)=(1-cos2x)/(x^(2)) , x!=0 and f(x) is continuous at x=0 ,then f(0)= (a) 1 (b) 2 (c) 3 (d) None of these

If f(x)=|x-3| and g(x)= fof (x), then for x>10,g'(x) is equal to (a)1(b)-1(c)0 (d) none of these

If intf(x)*cosxdx=1/2{f(x)}^2+c , then f(0)= (A) 1 (B) 0 (C) -1 (D) none of these

If x^(3)+(1)/(x^(3))=110, then x+(1)/(x)=5 (b) 10 (c) 15 (d) none of these

If sin^(-1)x-cos^(-1)x=pi/6 , then x= 1/2 (b) (sqrt(3))/2 (c) -1/2 (d) none of these

If y=1/(1+x^(a-b)+x^(c-b))+1/(1+x^(b-c)+x^(a-c))+1/(1+x^(b-a)+x^(c-a)), then (dy)/(dx) is equal to (a)1 (b) (a+b+c)^(x+b+c-1) 0 (d) none of these

If sin^(2)theta=(x^(2)+y^(2)+1)/(2x), then x must be -3 (b) -2(c)1(d) none of these

If a b c = 0, then ({(x^a)^b}^c)/({(x^b)^c}^a) = (a)3 (b) 0 (c) -1 (d) 1

If a=int_(1/2)^2 1/x cot^7(x-1/x)dx , then (A) a=0 (B) 0ltalt1 (C) agt0 (D) none of these