If `f(x) =max {x^2,2^x},` then if `x in (0,1),f(x)=` (i) x (ii) `2^x` (iii) Both are equal (iv) none of these

Let f(x)=max. {2-x,2,1+x} then int_(-1)^1 f(x)dx= (A) 0 (B) 2 (C) 9/2 (D) none of these

Let f(x)=max. {2-x,2,1+x} then int_(-1)^1 f(x)dx= (A) 0 (B) 2 (C) 9/2 (D) none of these

The range of f(x)=sin^(-1)x+sqrt(x) is (i) R(ii)(0,oo)(iii)(0,1) (iv) none of these

If x+(1)/(x)=2, then x^(100)+(1)/(x^(100))=(i)0(ii)2(iii)1(iv)-1(v) none of these

If (x^(2)y-2)+i(x+2xy-5)=0, then (i)x=1,4( ii) y=2,(1)/(8)( iii) both of these (iv) none of these

Examine f :R rarr R, f(x) =x^2 functions if it is (i) injective (ii) surjective, (iii) bijective and (iv) none of the three.

At x=af^(I)(x)=0,f^(II)(a)=0 also f^(III)(a)=0 and f^(IV)=+ve, then (i)f(x) is minima at x=a (i) f(x) is maxima at x=a (iii) f(x) has neither max nor min at x=a (iv) none of these

If f(x)="cos"^(2)x+"sec"^(2)x , then (i) f(x)lt1 (ii) f(x)=1 (iii) 2ltf(x)lt1 (iv) f(x)ge2

(d)/(dx) (AC)= f(x) (MC-AC) , then f(x)= (i) (1)/(x) (ii) x (iii) x^(-2) (iv) -x^(-1)

If f(2)=2,f'(2)=1. then lim_(x rarr2)(2x^(2)-4f(x))/(x-2)=(i)-4(ii)-2(iii)2(iv)