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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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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 TypeText solution:1
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