Q.

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

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a

4x–2y–3z–8=0

b

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

c

4x–2y–3z+8=0

d

4x+2y+3z–8=0

answer is A.

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Detailed Solution

P (4,4,0) By verification 4x – 2y – 3z – 8 = 0 plane passing through P &⊥  lr to the given planes
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The equation of the plane through the point  (4, 4, 0) and perpendicular to the planes 2x+ y + 2z + 3 = 0 and 3x + 3y + 2z – 8=0 is