If the radius of a circle whose centre is (x0,y0) touches a parabola y – InterviewSolution

1.	If the radius of a circle whose centre is (x0,y0) touches a parabola y2=4x, a straight line x–y+1=0 and the y−axis is √ptan(π8) where x0–y0+1<0, then the value of p is
Answer» If the radius of a circle whose centre is $(x_{0}, y_{0})$ touches a parabola $y^{2} = 4 x$ , a straight line $x - y + 1 = 0$ and the $y -$ axis is $\sqrt{p} tan (\frac{π}{8})$ where $x_{0} - y_{0} + 1 < 0,$ then the value of $p$ is

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