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Mathematics · 2026 · 1 mark
CBSE 2026 · Region 4 · Set 1 · Q17
Three points A(0, 1, 1), B(2, 0, -1) and C(1, 0, 3) form Δ ABC. The ar ( ABC ) is:
Three points A($\displaystyle 0$, $\displaystyle 1$, $\displaystyle 1$), B($\displaystyle 2$, $\displaystyle 0$, -$\displaystyle 1$) and C($\displaystyle 1$, $\displaystyle 0$, $\displaystyle 3$) form $\displaystyle \Delta \mathrm{ABC}$. The $\displaystyle \operatorname{ar}(\triangle \mathrm{ABC})$ is :
Official answer
(A)
$\displaystyle \frac{\sqrt{53}}{2}$ sq. units
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CBSE Class 12 Mathematics past-paper question from the 2026 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.