The plane which passes through the point $(- 1, 0, - 6)$ and perpendicular to the line whose direction ratios is $(6, 20, - 1)$ also passes through the point:

(1, 1, - 26)

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(0, 0, 0)

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(2, 1, - 32)

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(1, 1, 1)

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Solution

The correct option is D $(0, 0, 0)$
The d.r's of the perpendicular line give the normal.
Hence, the plane will be of the form $6 x + 20 y - z = d$
Since, it passes through $(- 1, 0, - 6)$ , $d = 0$
Hence, the plane passes through the origin.

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