jee_main_2024_01_february_morning - Three Dimensional Geometry Topics

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QUESTION #20 Shortest Distance Between Skew Lines
If the shortest distance between the lines (x-λ)/(-2)=(y-2)/(1)=(z-1)/(1) and x-√(3)1=(y-1)/(-2)=(z-2)/(1) is 1, then the sum of all possible values of λ is:
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QUESTION #29 Shortest Distance Between Skew Lines
Let the line of the shortest distance between the lines L₁: r=( i+2 j+3 k)+λ( i- j+ k) and L₂: r=(4 i+5 j+6 k)+μ( i+ j- k) intersect L₁ and L₂ at P and Q respectively. If $(α, β, γ)is the midpoint of the line segment PQ, then2(\alpha+\beta+\gamma)$ is equal to
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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