Find the equation of the plane that contains the point A(1, -1, 2) | Filo
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Class 12

Math

3D Geometry

Three Dimensional Geometry

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Find the equation of the plane that contains the point and is perpendicular to both the planes and . Hence, find the distance of the point from the plane obtained above.

Solution:
Any plane through is given by
........(i)

Since it is perpendicular to each of the planes and , we have
.........(ii)
......(iii)

On solving (ii) and (iii) by cross multiplication, we have

Putting these value in (i), we get the required equation as

Distance of the point from this plane is given by
units.
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