Question

The points of contact Q and R tangent from the point $P(2,3)$ on the parabola $y^2=4x$ are

• A. $(1,2),(4,4)$
• B. $(9,6),(\frac{1}{4},1)$
• C. $(9,6),(1,2)$
• D. $(4,4),(9,6)$

Answer 1

The correct option is A $(1,2),(4,4)$

Let the point be $(t^2,2t)$ then the tangent will be
$ty=x+t^2\Rightarrow 3t=2+t^2\Rightarrow t=1,2$
points will be $(1,2),(4,4)$