jee_main_2026_22_january_morning - Three Dimensional Geometry Topics

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QUESTION #6 Shortest Distance Between Two Lines
Let P(α, β, γ) be the point on the line (x - 1)/(2) = (y + 1)/(-3) = z at a distance 4√(14) from the point (1, -1, 0) and nearer to the origin. Then the shortest distance, between the lines (x - α)/(1) = (y - β)/(2) = (z - γ)/(3) and (x + 5)/(2) = (y - 10)/(1) = (z - 3)/(1), is equal to
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QUESTION #11 Image of a Point in a Line
If the image of the point P (1, 2, a) in the line (x - 6)/(3) = (y - 7)/(2) = (7 - z)/(2) is Q(5, b, c), then a² + b² + c² 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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