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

Mathematics3D-Coordinate GeometryPlaneMedium2 minQB

MathematicsMediumsingle choice

The plane $\frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1$ meets the coordinate axes at $A, B, C$ respectively. D and E are the mid-points of $A B$ and $A C$ respectively. Coordinates of the mid-point of DE are

Options:

Answer:

Solution:

$A (a, 0, 0), B (0, b, 0), C (0, 0, c), D (a /2, b /2, 0), E (a /2, 0, c /2)$ , so the mid-point of DE is $(a /2, b /4, c /4)$ .

Stream:JEESubject:MathematicsTopic:3D-Coordinate GeometrySubtopic:Plane

⏱ 2mℹ️ Source: QB

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