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The line of greatest slope on an incline...

The line of greatest slope on an inclined plane `P_1` is the line in the plane `P_1` which is perpendicular to the line of intersection of the plane `P_1` and a horizontal plane`P_2`.
Q. Assuming the plane `4x-3y+7z=0` to be horizontal, the direction cosines of the line of greatest slope in the plane `2x+y-5z=0` are

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The correct Answer is:
`(x-2)/(3)=(y-1)/(-1)=(z-1)/(1)`
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