jee_main_2025_29_jan_morning - Three Dimensional Geometry Topics

Master these core formulas and structures to solve almost any past paper question.

Sample Questions in this Chapter

QUESTION #64 Intersection of Lines
Let a = i + 2 j + k and b = 2 i + 7 j + 3 k . Let L₁: r = (- i +2 j + k) + λ a,λ in R and L₂: r = ( j + k) + μ b,μ in R be two lines. If the line L₃ passes through the point of intersection of L₁ and L₂ , and is \parallel to a + b, then L₃ passes through the point:
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QUESTION #67 Perpendicular Lines
Let L₁: (x - 1)/(1) = (y - 2)/(-1) = (z - 1)/(2) and L₂: x + 1-1 = y - 22 = z1 be two lines. Let L₃ be a line passing through the point (α, β, γ) and be perpendicular to both L₁ and L₂ . If L₃ intersects L₁ , then |5α - 11β - 8γ| equals:
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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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