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TS EAMCET · Maths · Three Dimensional Geometry

A plane ax+by+cz+1=0 is perpendicular to the two planes 2 x-2 y+z=0 and x-y+2 z=4 and passes through the point 1, -2, 1. Then a+b-c=

  1. A -6
  2. B 1
  3. C 0
  4. D 2
Verified Solution

Answer & Solution

Correct Answer

(D) 2

Step-by-step Solution

Detailed explanation

Since ax+by+cz+1=0 is perpendicular to the planes 2x-2y+z=0 and x-y+2z=4 As we know condition for two planes to be perpendicular is a1a2+b1b2+c1c2=0 So 2a-2b+c=0 a-b+2c=0 a-4+1=-b4-1=c-2+2…
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