Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryAngle between two planesMedium2 minQB

MathematicsMediumsingle choice

A plane passes through $(1, 0, 0)$ and $(0, 1, 0)$ and makes angle $π /4$ with plane $x + y = 3$ . Which can be direction ratios of its normal?

Answer:

Solution:

Writing the normal as $(a, b, c)$ gives $a = b$ and the angle condition gives $c^{2} = 2 a^{2}$ . Thus $1, 1, 2$ works.

Stream:JEESubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Angle between two planes

⏱ 2mℹ️ Source: QB

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