# Let Q be the foot of perpendicular from the origin to the plane

Question:

Let $Q$ be the foot of perpendicular from the origin to the plane $4 x-3 y+z+13=0$ and $R$ be a point $(-1,1,-6)$ on the plane. Then length $Q R$ is :

1. $3 \sqrt{\frac{7}{2}}$

2. $\sqrt{14}$

3. $\sqrt{\frac{19}{2}}$

4. $\frac{3}{\sqrt{2}}$

Correct Option: 1

Solution: