Column I, Column II `A tx=1,f(x)={logx ,x<1 2x-x^2, xgeq1` , p. is increasing At `x=2,f(x)={x-1,x<2 0,x=2sinx ,x >2` , q. is decreasing At `x=0,f(x)={2x+3,x<0 5,x=0x^2+7,x >0` , r. has point of maxima At `x=0,f(x)={e^(-x)x<0 0,x=0-cosx ,x >0` , s. has point of minima

Options

A. `(1)/(2)`
B. 1
C. `(1)/(sqrt2)`
D. `(1)/(sqrt3)`

Answer

d

Explanation

Since line of intersection is perpendicular to both the planes, direction rations of the line of intersection is ltbgt `|[hati,hatj,hatk],[2,3,1],[1,3,2]|=3hati-3hatj+3hatk`
Hence, `cosalpha=(3)/(sqrt(9+9+9))=(1)/(sqrt3)`