Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryFamily of planesMedium2 minQB
MathematicsMediumsingle choice

If and are the equations of two planes, then the equation will represent the equation of family of planes passing through the line of intersection of planes and for different values of . The line of intersection of planes and is equally inclined with vectors

Options:

Answer:
C
Solution:

The line of intersection is perpendicular to both normals, so it is parallel to , i.e. to . Its angle with with with . Hence equally inclined with and .

Stream:JEESubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Family of planes
⏱ 2mℹ️ Source: QB

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