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MHT CET202013 Oct 2020Evening ShiftMathematicsThree Dimensional GeometryActual

The equation of the plane passing through the points (2,3,1),(4,-5,3) and parallel to y -axis is

Options

  1. Ax+z=3
  2. Bx+z=1
  3. Cx-z=1
  4. Dz-x+2=0

Correct answer

C. x-z=1

Step-by-step solution

Equation of plane passing through the point (2,3,1) is a(x-2)+b(y-3)+c(z-1)=0 (1) Given point (4,-5,3) lies on plane 2 a-8 b+2 c=0 (2) Since plane is parallel to Y -axis, having d.r. (0,1,0) (a) (0)+( b )(1)+( c )(0)=0 b =0 Putting in equation (2) we get 2 a+2 c=0 a=-c Putting values of a , b in equation (1) aligned &-c(x-2)+c(z-1)=0 &(x-2)-(z-1)=0 & x-z=1 aligned

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