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Question: Answered & Verified by Expert
Let $6 x-3 y+2 z-6=0$ be the given plane. If $a, b, c$ are the intercepts made by the plane on $\mathrm{X}, \mathrm{Y}, \mathrm{Z}$-axes respectively; $1, m, n$ are the direction cosines of a normal drawn to the plane and $\mathrm{p}$ is the perpendicular distance from the origin to the plane, then $|a l+b m+c n|=$
MathematicsThree Dimensional GeometryTS EAMCETTS EAMCET 2022 (19 Jul Shift 1)
Options:
  • A $\mathrm{p}$
  • B $2 \mathrm{p}$
  • C $3 \mathrm{p}$
  • D $4 p$
Solution:
2890 Upvotes Verified Answer
The correct answer is: $3 \mathrm{p}$
No solution. Refer to answer key.

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