jee_main_2025_07_april_evening - Three Dimensional Geometry Topics

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

Sample Questions in this Chapter

QUESTION #64 Lines in 3D Space
If the equation of the line passing through the point (0, -(1)/(2), 0) and perpendicular to the lines r = λ ( i + a j + b k) and r = ( i - j - 6 k) + μ (- b i + a j + 5 k) is x - 1-2 = y + 4d = z - c-4 then a +b + c + d is equal to:
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QUESTION #66 Foot of Perpendicular and Area
Consider the lines L₁: x - 1 = y - 2 = z and L₂: x - 2 = y = z - 1. Let the feet of the perpendiculars from the point P(5,1,-3) on the lines L₁ and L₂ be Q and R respectively. If the area of the triangle PQR is A, then 4A² is equal to:
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Rankbit System
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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