Let `f(x)=(ax + b )/(cx+d)`. Then the `fof (x)=x`, provided that : `(a!=0, b!= 0, c!=0,d!=0)`

Let f(x)= cx+d/ax+b ​ . Then fof(x) = x provided that.

Let f(x)={(x-4)/(|x-4|a+b)+a ,x 0 Then, f(x) is continuous at x=4 when (a) a=0,b=0 (b) a=1,b=1 (c) a=-1,b=1 (d) a=1,b=-1

If f(x)=(ax + b)sinx+(cx +d)cos x , then the values of a b, c and d such that f"(x)=xcos x for all x, then (a + b + c + d)is

Let f(x)={(e^x-1+ax)/x^2, x>0 and b, x=0 and sin(x/2)/x , x<0 , then

Let f (x) =ax ^(2) +bx + c,a ne 0, such the f (-1-x)=f (-1+ x) AA x in R. Also given that f (x) =0 has no real roots and 4a + b gt 0. Let p =b-4a, q=2a +b, then pq is:

Let f(x)=a x^2+b x+cdot Consider the following diagram. Then Fig c 0 a+b-c >0 a b c<0

Let f(x)=(1+b^2)x^2+2b x+1 and let m(b) the minimum value of f(x) as b varies, the range of m(b) is (A) [0,1] (B) (0,1/2] (C) [1/2,1] (D) (0,1]

Let f(x)=a+b|x|+c|x|^4 , where a ,\ b , and c are real constants. Then, f(x) is differentiable at x=0 , if a=0 (b) b=0 (c) c=0 (d) none of these

Let f(x)=a+b|x|+c|x|^4 , where a , ba n dc are real constants. Then, f(x) is differentiable at x=0, if a=0 (b) b=0 (c) c=0 (d) none of these

Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0 Then the roots of the equation (x-alpha)(x-beta)+c=0 are a ,c (b) b ,c a ,b (d) a+c ,b+c