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Q.

The equation of the plane through the point  (4, 4, 0) and perpendicular to the planes  x + 2y + 2z–5 = 0 and 3x + 3y + 2z–8 = 0 is

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a

2x-3y+2z+15=0

b

4x+y-3z-26=0

c

2x-4y+3z+8 = 0

d

3x+5y-2z+12=0

answer is C.

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Detailed Solution

P (4, 4, 0), x+2y+2z−5=0,  3x+3y+2z−8=0 2(4)−4(4)+0+8=0             2(1)−4(2)+3(2)=0 2x−4y+3z+8=0  verification
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The equation of the plane through the point  (4, 4, 0) and perpendicular to the planes  x + 2y + 2z–5 = 0 and 3x + 3y + 2z–8 = 0 is