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3D Geometry question

2023 · 15 Apr · Shift 1 · Q36
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  5. /2023 · 15 Apr · Shift 1 · Q36

3D Geometry question

2023 · 15 Apr · Shift 1 · Q36

JEE MainMathematics3D GeometryMCQ+4 / −1
Let S\mathrm{S}S be the set of all values of λ\lambdaλ, for which the shortest distance between the lines x−λ0=y−34=z+61\frac{x-\lambda}{0}=\frac{y-3}{4}=\frac{z+6}{1}0x−λ​=4y−3​=1z+6​ and x+λ3=y−4=z−60\frac{x+\lambda}{3}=\frac{y}{-4}=\frac{z-6}{0}3x+λ​=−4y​=0z−6​ is 13. Then 8∣∑λ∈Sλ∣8\left|\sum\limits_{\lambda \in S} \lambda\right|8​λ∈S∑​λ​ is equal to :
  1. A
    306
  2. B
    304
  3. C
    308
  4. D
    302
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