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Let the plane 2 x k + 2 y 3 + z 3 =2 pass through the point (2,3,-6) . If p, q and r are the intercepts made by the plane on the coordinate axes respectively, then what is (p+q+r) equal to?

Options

  1. A10
  2. B11
  3. C12
  4. D13

Correct answer

B. 11

Step-by-step solution

aligned & 3 x+2 y+z=6 & x 2 + y 3 + z 6 =1 aligned Intercept on axes are 2,3,6 respectively aligned & P =2, q =3 and r =6 & p + q + r =2+3+6=11 aligned

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