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Given, B and C lie on the line and units find the area of . (Application) Find the equation of the…
(i)
Given, B and C lie on the line $\frac{x+3}{5} = \frac{y-1}{2} = \frac{z+4}{3}$ and $BC = 5$ units find the area of $\Delta ABC$. (Application)

(ii)
Find the equation of the plane containing the line $\frac{x}{-2} = \frac{y-1}{3} = \frac{1-z}{1}$ and the point $(-1, 0, 2)$. (Application)
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From ISC 2026 Specimen Mathematics Paper 1, question 17.