Question

From an external point $P$, pair of tangent lines are drawn to the parabola, $y^2=4x$. If ${\theta }_1$ & ${\theta }_2$ are the inclinations of these tangents with the axis of $x$ such that ,${\theta }_1+{\theta }_2=\frac{\pi }{4}$, then the locus of $P$ is:

• A. $x-y+1=0$
• B. $x+y-1=0$
• C. $x-y-1=0$
• D. $x+y+1=0$

Answer 1

The correct option is C $x-y-1=0$