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3D Geometry question

2020 · Shift 1 · Q29
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  2. /JEE Advanced
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  5. /2020 · Shift 1 · Q29

3D Geometry question

2020 · Shift 1 · Q29

JEE AdvancedMathematics3D GeometryMultiple correct+4 / −2
Let L1 and L2 be the following straight lines. L1:x−11=y−1=z−13{L_1}:{{x - 1} \over 1} = {y \over { - 1}} = {{z - 1} \over 3}L1​:1x−1​=−1y​=3z−1​ and L2:x−1−3=y−1=z−11{L_2}:{{x - 1} \over { - 3}} = {y \over { - 1}} = {{z - 1} \over 1}L2​:−3x−1​=−1y​=1z−1​. Suppose the straight line L:x−αl=y−1m=z−γ−2L:{{x - \alpha } \over l} = {{y - 1} \over m} = {{z - \gamma } \over { - 2}}L:lx−α​=my−1​=−2z−γ​ lies in the plane containing L1 and L2 and passes through the point of intersection of L1 and L2. If the line L bisects the acute angle between the lines L1 and L2, then which of the following statements is/are TRUE?
  1. A
    α−γ\alpha -\gammaα−γ = 3
  2. B
    l + m = 2
  3. C
    α−γ\alpha -\gammaα−γ = 1
  4. D
    l + m = 0
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