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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryCoplanarity of two linesMedium2 minQB

MathematicsMediumsingle choice

Statement 1 - The lines $\frac{x + 1}{1} = \frac{y - 2}{3} = \frac{z}{K}$ and $\frac{x - 1}{2} = \frac{y + 1}{- 1} = \frac{z - 2}{3}$ will be coplanar for more than one value of $K$ .

Statement 2 - Two lines in a plane are either parallel or intersecting.

Options:

Answer:

Solution:

Coplanarity: the determinant with rows $(2, - 3, 2), (1, 3, K), (2, - 1, 3)$ must be zero, which gives $13 - 4 K = 0$ , so $K = \frac{13}{4}$ only. Statement 1 is false. Statement 2 is true.

Stream:JEESubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Coplanarity of two lines

⏱ 2mℹ️ Source: QB

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