Match List I with the List II and select the correct answer using the code given below the lists :Consider a differentiable function f satisfying the relation f(x−y+1)=f(x)f(y−1) for all x,y∈R and f′(0)=2, f(0)=1. List I List II(A)If ∫f(x)dx=2f(x)p+C where C is constant of integration,(P)1then the value of p is(B)The value of d10dx10(f(x2)) at x=0 is(Q)2(C)The number of solutions of the equation f(x)=x2 is(R)3(D)The value of limx→0f(x)−f(x2)sinx is(S)4Which of the following is a CORRECT combination?

Match List I with the List II and select the correct answer using the

1.	Match List I with the List II and select the correct answer using the code given below the lists :Consider a differentiable function f satisfying the relation f(x−y+1)=f(x)f(y−1) for all x,y∈R and f′(0)=2, f(0)=1. List I List II(A)If ∫f(x)dx=2f(x)p+C where C is constant of integration,(P)1then the value of p is(B)The value of d10dx10(f(x2)) at x=0 is(Q)2(C)The number of solutions of the equation f(x)=x2 is(R)3(D)The value of limx→0f(x)−f(x2)sinx is(S)4Which of the following is a CORRECT combination?
Answer» Match $List I$ with the $List II$ and select the correct answer using the code given below the lists : Consider a differentiable function $f$ satisfying the relation $f (x - y + 1) = \frac{f (x)}{f (y - 1)}$ for all $x, y \in R$ and $f^{'} (0) = 2,$ $f (0) = 1.$ $\begin{matrix} List I & List II (A) & If \int f (x) d x = \frac{2 f (x)}{p} + C where C is constant of integration, & (P) & 1 then the value of p is (B) & The value of \frac{d^{10}}{d x^{10}} (f (\frac{x}{2})) at x = 0 is & (Q) & 2 (C) & The number of solutions of the equation f (x) = x^{2} is & (R) & 3 (D) & The value of lim x \to 0 \frac{f (x) - f (x^{2})}{sin x} is & (S) & 4 \end{matrix}$ Which of the following is a CORRECT combination?