If the normal to the ellipse $3x^2 + 4y^2 = 12$ at a point $P$ on it is parallel to the line, $2x + y = 4$ and the tangent to the ellipse at $P$ passes through $Q(4, 4)$ then $PQ$ is equal to
If the normal to the ellipse $3x^2 + 4y^2 = 12$ at a point $P$ on it is parallel to the line, $2x + y = 4$ and the tangent to the ellipse at $P$ passes through $Q(4, 4)$ then $PQ$ is equal to
- [JEE MAIN 2019]
- A
$\frac{{\sqrt {157} }}{2}$
- B
$\frac{{5\sqrt 5 }}{2}$
- C
$\frac{{\sqrt {221} }}{2}$
- D
$\frac{{\sqrt {61} }}{2}$
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