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Mathematics - 3D-Coordinate Geometry Question with Solution | TestHub

Mathematics3D-Coordinate GeometryLine ( Equation etc.)Medium2 minQB

MathematicsMediumsingle choice

The coordinates of a point on the line $x = 4 y + 5, z = 3 y - 6$ at a distance $326$ from the point (5, 0, -6) are

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Answer:

Solution:

The line is $\frac{x - 5}{4} = \frac{y}{1} = \frac{z + 6}{3}$ with $16 + 1 + 9 = 26$ . A point at distance $326$ is $(5 \pm 12, \pm 3, - 6 \pm 9)$ , i.e. $(17, 3, 3)$ or $(- 7, - 3, - 15)$ .

Stream:JEESubject:MathematicsTopic:3D-Coordinate GeometrySubtopic:Line ( Equation etc.)

⏱ 2mℹ️ Source: QB

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