Find the equation of the plane passing through the line of interse | 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 line of intersection of the planes and and cutting off equal intercepts on the x-axis and z-axis.

Solution:
Let the required plane be
....... (i)

Then,


.

Since the intercepts on the x-axis and z-axis are equal, we have
.

Putting in (i) we get equation of required plane.
.
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