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AP EAMCET2003MathematicsThree Dimensional Geometry

A plane makes intercepts 3 and 4 respectively on Z -axis and X -axis. If is parallel to Y -axis, then its equation is :

Options

  1. A3 x+4 z=12
  2. B3 z+4 x=12
  3. C3 y+4 z=12
  4. D3 z+4 y=12

Correct answer

A. 3 x+4 z=12

Step-by-step solution

Given that a=4, c=3 Equation of the plane ' ' is x a + y b + z b =1 x 4 + y b + z 3 =1 Since, is parallel to Y -axis. 0 1 a +1 1 b +0 1 c 1 a^2 + 1 b^2 + 1 c^2 =0 1 b =0 Thus, the equation of plane is x 4 + z 3 =1 3 x+4 z-12=0

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