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AP EAMCET202120 Aug 2021Evening ShiftMathematicsThree Dimensional GeometryActual

The sum of intercepts of the plane 4 x + 3 y + 2 z = 2 on the coordinate axes is

Options

  1. A13 6
  2. B9
  3. C13 12
  4. D2

Correct answer

A. 13 6

Step-by-step solution

Equation of plane 4 x + 3 y + 2 z = 2 x a + y b + z c = 1 is intercept form a = x   intercept b = y   intercept c = z   intercept ⇒ 4 x + 3 y + 2 z = 2 ⇒ 4 x + 3 y + 2 z 2 = 1 ⇒ 4 x 2 + 3 y 2 + z = 1 ⇒ x 1 2 + y 2 3 + z 1 = 1 a = 1 2 , b = 2 3 , c = 1 Hence, a + b + c = 13 6 .

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