Question
Find the equation of a plane which is at a distance of units from the origin and the normal to which is equally inclined to the coordinate axes.
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Text solutionVerified
If and are the angles made by the line segment with the coordinate axis.
and are called as the direction cosines.
Let the required equation of the plane be , where .
Let , where is acute.
Then,
the required equation is
Hence,
.
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Question Text | Find the equation of a plane which is at a distance of units from the origin and the normal to which is equally inclined to the coordinate axes. |
Answer Type | Text solution:1 |
Upvotes | 150 |