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Question

Mathematics Question on Angle between a Line and a Plane

A plane P contains the line of intersection of the plane r.(iˆ+jˆ+kˆ)=6\overrightarrow{r} .( \^i+\^j+\^k )=6 and r.(2iˆ+3jˆ+4kˆ)=5\overrightarrow{r }.( 2\^i+3\^j+4\^k) = − 5. If P passes through the point (0, 2, –2), then the square of distance of the point (12, 12, 18) from the plane P is

A

155

B

310

C

620

D

1240

Answer

620

Explanation

Solution

The correct option is(C): 620