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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryCoordinates of a point in space, Direction cosines,Easy2 minPYQ_2017

MathematicsEasysingle choice

If $z_{1}$ and $z_{2}$ are the $z -$ coordinates of the points of trisection of the line segment joining the points $A (2, 1, 4) and B (- 1, 3, 6)$ then $z_{1} + z_{2} =$

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$\begin{matrix} For z_{1} \to 1 : 2 \\ For z_{2} \to 2 : 1 \\ \begin{matrix} (Internal division formula) \\ \begin{matrix} \end{matrix} \end{matrix} \end{matrix} | \begin{matrix} z = z_{1} + z_{2} \\ = \frac{(1) (6) + 2 (4)}{1 + 2} + \frac{2 (6) + (1) (4)}{2 + 1} \\ \begin{matrix} = \frac{6 + 8}{3} + \frac{12 + 4}{3} \\ = \frac{14 + 16}{3} \\ \begin{matrix} = \frac{30}{3} \\ = 10 \end{matrix} \end{matrix} \end{matrix}$

Stream:MHT_CETSubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Coordinates of a point in space, Direction cosines,

⏱ 2mℹ️ Source: PYQ_2017

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