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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 : 36 of 78
Marks:
+1,
-0
3y + 4z – 6 = 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 are the direction cosines of OP.Since direction cosines and direction ratios of the line are proportional, we have i.e., Substituting these values in the equation of the plane, we get Hence the foot of perpendicular is

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