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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryPlane (Equations)Medium2 minQB

MathematicsMediumsingle choice

Statement 1 - The line $\frac{x - 1}{3} = \frac{y - 2}{11} = \frac{z + 1}{11}$ lies in the plane $11 x - 3 z - 14 = 0$ .

Statement 2 - A straight line lies in a plane if the line is parallel to the plane and a point of the line lies in the plane.

Options:

Answer:

Solution:

The point (1, 2, -1) is on the line and 11 + 3-14 = 0, so it lies on the plane. The direction ratios (3, 11, 11) satisfy $11 \cdot 3 + 0 \cdot 11 - 3 \cdot 11 = 0$ , so the line is parallel to the plane. So the line lies in the plane, and Statement 2 is true and explains Statement 1.

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

⏱ 2mℹ️ Source: QB

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