Question

Consider the parabola $y^2=4 x$ Let $S$ be the focus of the parabola A pair of tangents drawn to the parabola from the point $P=(-2,1)$ meet the parabola at $P_1$ and $P_2$ Let $Q_1$ and $Q_2$ be points on the lines $S P_1$ and $S P_2$ respectively such that $P Q_1$ is perpendicular to $S P_1$ and $P Q_2$ is perpendicular to $S P_2$ Then, which of the following is/are TRUE ?

• A. $S Q_l=2$
• B. $Q _1 Q _2=\frac{3 \sqrt{10}}{5}$
• C. $PQ _1=3$
• D. $SQ _2=1$

Answer 1

Answer: (D)

$SQ _2=1$

Answer 2

D

$SQ _2=1$