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Question

Mathematics Question on Distance of a Point from a Plane

Let P be the point of intersection of the line x+33=y+21=1z2\frac{x+3}{3}=\frac{y+2}{1}=\frac{1-z}{2} and the plane x + y + z = 2. If the distance of the point P from the plane 3x – 4y + 12z = 32 is q, then q and 2q are the roots of the equation

A

x2+18x+72=0x^2+18x+72=0

B

x218x72=0x^2-18x-72=0

C

x2+18x72=0x^2+18x-72=0

D

x218x+72=0x^2-18x+72=0

Answer

x218x+72=0x^2-18x+72=0

Explanation

Solution

The Correct Option is (D):x218x+72=0x^2-18x+72=0