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AP EAMCET202318 May 2023Evening ShiftMathematicsThree Dimensional GeometryActual

The equation of a plane passing through (-1,2,3) and whose normal makes equal angles with the coordinate axes is

Options

  1. Ax+y+z+4=0
  2. Bx-y+z+4=0
  3. Cx+y+z-4=0
  4. Dx+y+z=0

Correct answer

C. x+y+z-4=0

Step-by-step solution

Since, normal makes equal angles with co-ordinate axis. So, it intercept with all the axis will be same. So, equation of plane will be : x a + y a + z a =1 x+y+z=a.....(i) Now, it passes through (-1,2,3) . So, we get -1+2+3=a a=4 Putting the values of a in equation (i), we get x+y+z-4=0

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