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MHT CET202122 Sep 2021Evening ShiftMathematicsThree Dimensional GeometryActual

The d.r.s. of the normal to the plane passing through the origin and the line of intersection of the planes x+2 y+3 z=4 and 4 x+3 y+2 z=1 are

Options

  1. A3,2,1
  2. B2,3,1
  3. C1,2,1
  4. D3,1,2

Correct answer

A. 3,2,1

Step-by-step solution

Equation of the plane passing through the line of intersection of the given planes, is (x z+2 y+3 z-4)+ (4 x+3 y+2 z-1)=0 Since the plane (1) passes through origin, We get -4- =0 =-4 Substituting value of in equation (1), we get aligned & -15 x-10 y-5 z=0 3 x+2 y+z=0 & d.r.s. are (3,2,1) aligned

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