JEE Mains · Maths · STD 12 - 11. three dimension geometry
Let P be the image of the point \(\mathrm{Q}(7,-2,5)\) in the line \(\mathrm{L}: \frac{x-1}{2}=\frac{y+1}{3}=\frac{z}{4}\) and \(\mathrm{R}(5, \mathrm{p}, \mathrm{q})\) be a point on \(L\). Then the square of the area of \(\triangle P Q R\) is ________.
- A 957
- B 958
- C 959
- D 960
Answer & Solution
Correct Answer
(A) 957
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { Let } \mathrm{R}(2 \lambda+1,3 \lambda-1,4 \lambda) \\ & 2 \lambda+1=5 \\ & \lambda=2 \\ & \mathrm{R}(5,5,8) \\ & \text { let } \mathrm{T}(2 \lambda+1,3 \lambda-1,4 \lambda) \\ & \overrightarrow{\mathrm{QT}}=(2 \lambda-6) \hat{\mathrm{i}}+(3 \lambda+1)…
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