Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryPlane (Equations)Medium2 minPYQ_2019

MathematicsMediumsingle choice

The equation of the plane which bisects the angle between the planes $3 x - 6 y + 2 z + 5 = 0$ and $4 x - 12 y + 3 z - 3 = 0$ which contains the origin is

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Solution:

Equation of plane bisecting the angle containing origin is (making constant term of same sign) $\frac{- 3 x + 6 y - 2 z - 5}{3 ^{2} + 6 ^{2} + 2 ^{2}} = + [\frac{4 x - 12 y + 3 z - 3}{4 ^{2} + 1 2 ^{2} + 3 ^{2}}]$ or $\frac{- 3 x + 6 y - 2 z - 5}{7} = \frac{4 x - 12 y + 3 z - 3}{13}$ or $67 x - 162 y + 47 z + 44 = 0$

Stream:VITEEESubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Plane (Equations)

⏱ 2mℹ️ Source: PYQ_2019

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