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Mathematics · 2025 · 2 marks
CBSE 2025 · Region 5 · Set 1 · Q25
A man needs to hang two lanterns on a straight wire whose end points have coordinates A (4,1,-2) and B (6,2,-3). Find the coordinates of the points…
A man needs to hang two lanterns on a straight wire whose end points have coordinates $\displaystyle \mathrm{A}(4,1,-2)$ and $\displaystyle \mathrm{B}(6,2,-3)$. Find the coordinates of the points where he hangs the lanterns such that these points trisect the wire AB .
Marking-scheme solution
Let $\displaystyle P$ and $\displaystyle Q$ trisect the wire $\displaystyle \mathrm{A} \mathrm{B}$.
$\displaystyle P$ divides $\displaystyle \mathrm{A} \mathrm{B}$ in the ratio $\displaystyle 1$:$\displaystyle 2$ then, coordinate of point $\displaystyle P=\left(\frac{14}{3}, \frac{4}{3},-\frac{7}{3}\right)$
$\displaystyle Q$ divides $\displaystyle \mathrm{A} \mathrm{B}$ in the ratio $\displaystyle 2$:$\displaystyle 1$ then, coordinate of point $\displaystyle Q=\left(\frac{16}{3}, \frac{5}{3},-\frac{8}{3}\right)$All Three Dimensional Geometry questions2025 question paperNCERT solutions: Three Dimensional GeometryPractice Three Dimensional Geometry →
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CBSE Class 12 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.