if f(x) =`|{:(mx,,mx-p,,mx-p),(n,,n+p,,n-p),(mx+2n,,mx+2n+p,,mx+2n-p):}|` then
y=f(x) represents

If f^(prime)(x)=|[mx, mx-p, m x+p], [n, n+p, n-p], [mx+2n, m x+2n+p, mx+2n-p]| , then y=f(x) represents a. a straight line parallel to x-axis b. a straight line parallel to y-axis c. parabola d. a straight line with negative slope

If f^(prime)(x)=|[mx, mx-p, m x+p], [n, n+p, n-p], [mx+2n, m x+2n+p, mx+2n-p]| , then y=f(x) represents a. a straight line parallel to x-axis b. a straight line parallel to y-axis c. parabola d. a straight line with negative slope

If f(x)={{:(mx+1",",xle(pi)/(2)),(sinx+n",",xge (pi)/(2)):} is continuous at x=(pi)/(2) , then

e^(mx).cos n x

int sin mx cos nxdx,m!=n

If f(x) {(mx + 1,x le (pi)/(2)),((sin x)+ n,x gt (pi)/(2)):} is continuous at x= (pi)/(2) , then …...

If y=ae^(mx)+be^(-mx) , then y_(2) is :

If (l+mx)/(l-mx)= (m+nx)/(m-nx)=(n+px)/(n-px),x!=0 . Then the number l,m,n and p are in (A) A.P. (B) G.P. (C) H.P. (D) none of these