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NCERT Class XII Mathematics Chapter - - Solutions
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Question 35 - 38: In the following cases, find the coordinates of the foot of theperpendicular drawn from the origin.
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Question : 38 of 78
Marks:
+1,
-0
5y + 8 = 0
Solution:
Let the coordinates of the foot of the perpendicular P from the origin to the plane be .
Then the direction ratios of the line OP are . Writing the equation of the plane in the normal form, we have where 0, 1, 0 are the direction cosines of OP.Since direction cosines and direction ratios of a line are proportional, then i.e. Substituting these values in the equation of the plane, we get Hence the foot of perpendicular is

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