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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%)

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 veca = hati + 2hatj + hatk and vecb = 2hati + 7hatj + 3hatk . Let mathrmL_1:vecmathrmr = left(-hatmathrmi +2hatmathrmj +hatmathrmkright) + lambda vecmathrma,lambda in mathbbR and mathrmL_2:vecmathrmr = left(hatmathrmj +hatmathrmkright) + mu vecmathrmb,mu in mathbbR be two lines. If the line mathrmL_3 passes through the point of intersection of mathrmL_1 and mathrmL_2 , and is \parallel to vecmathrma +vecb, then mathrmL_3 passes through the point:
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QUESTION #67 Perpendicular Lines
Let L_1: fracx - 11 = fracy - 2-1 = fracz - 12 and mathrmL_2:fracmathrmx + 1-1 = fracmathrmy - 22 = fracmathrmz1 be two lines. Let mathrmL_3 be a line passing through the point (alpha, beta, gamma) and be perpendicular to both mathrmL_1 and mathrmL_2 . If mathrmL_3 intersects mathrmL_1 , then |5alpha - 11beta - 8gamma| equals:
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YOUR FIRST PREP STEP STARTS HERE

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