A straight line L is drawn through the point A(2, 1) is such that its point of intersection with x + y = 9 at distance of 32   from A. Then angle made by L with positive direction of x-axis is

A (2,1), x+y−9=0 -------(1)r=32                ,x=2+(32)cosθ ,y=1+(32)sinθ                (1)⇒3+32(cosθ+sinθ)=9                1+2(cosθ+sinθ)=3                cosθ+sinθ=2                12cosθ+12sinθ=1                cos(θ−π4)=cos00                θ=π/4