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A plane P passes through the line of intersection of the planes 2 x - y +3 z =2, x + y - z =1 and the point (1,0,1) . What is the equation of the plane P?

Options

  1. A2x + 5y – 2 = 0
  2. B5x + 2y – 5 = 0
  3. Cx + z – 2 = 0
  4. D2x – y – 2z = 0

Correct answer

B. 5x + 2y – 5 = 0

Step-by-step solution

Eq. of plane through two given planes is : (2 x-y+3 z-2)+ (x+y-z-1)=0 It passes through (1,0,1) 3- =0 =3 Eq. of plane is: 5 x+2 y-5=0

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