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3D Geometry question

2024 · 6 Apr · Shift 2 · Q40
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  5. /2024 · 6 Apr · Shift 2 · Q40

3D Geometry question

2024 · 6 Apr · Shift 2 · Q40

JEE MainMathematics3D GeometryMCQ+4 / −1
Let P(α,β,γ)\mathrm{P}(\alpha, \beta, \gamma)P(α,β,γ) be the image of the point Q(3,−3,1)\mathrm{Q}(3,-3,1)Q(3,−3,1) in the line x−01=y−31=z−1−1\frac{x-0}{1}=\frac{y-3}{1}=\frac{z-1}{-1}1x−0​=1y−3​=−1z−1​ and R\mathrm{R}R be the point (2,5,−1)(2,5,-1)(2,5,−1). If the area of the triangle PQR\mathrm{PQR}PQR is λ\lambdaλ and λ2=14 K\lambda^2=14 \mathrm{~K}λ2=14 K, then K\mathrm{K}K is equal to :
  1. A
    18
  2. B
    81
  3. C
    72
  4. D
    36
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