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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryPlane (Equations)Hard3 minQB

MathematicsHardmultiple choice

Plane $Π$ contains $L_{1} : y / b + z / c = 1, x = 0$ and is parallel to $L_{2} : x / a - z / c = 1, y = 0$ . Which are true?

Options:(select one or more)

Answer:

A, C

Solution:

A normal from the two line directions yields the stated plane. The skew-line distance simplifies to $2 ab c / b^{2} c^{2} + a^{2} c^{2} + a^{2} b^{2}$ ; setting it to 1/4 gives the sum 64.

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

⏱ 3mℹ️ Source: QB

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