Find the equation of the plane passing through the intresection of | Filo
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Class 12

Math

3D Geometry

Three Dimensional Geometry

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Find the equation of the plane passing through the intresection of the planes and    and parallel to the line with direction ratio proportional to find also the perpendicular distance of from this plane.                                                                             

Solution:
The equation of the plane passing through the intersection of the given planes is
  ......
This plane is parallel to the line whose direction ratios are proportional to
So, the normal  to the plane is perpendicular to the line whose direction ratios are proportional to
 
Substituting this in , we get
 
....... which is the required equation of the plane.
Perpendicular distance of plane from
units.

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