Q.

Equation of the plane passing through the point (-1,3,2) and perpendicular to each of the planes x+2y+3z=5 and 3x+3y+z=0 is

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a

7x+8y−3z=0

b

7x−8y−3z=−37

c

7x−8y+3z+25=0

d

7x+8y+3z=23

answer is C.

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Detailed Solution

Equation of the plane is a(x+1)+b(y−3)+c(z+2)=0a+2b+3c=0; 3a+3b+c=0
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Equation of the plane passing through the point (-1,3,2) and perpendicular to each of the planes x+2y+3z=5 and 3x+3y+z=0 is