jee_main_2025_04_april_morning - Three Dimensional Geometry Topics

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

Sample Questions in this Chapter

QUESTION #56 Shortest Distance Between Two Lines
Let the shortest distance between the lines (x - 3)/(3) = (y - α)/(-1) = (z - 3)/(1) and (x + 3)/(-3) = (y + 7)/(2) = (z - β)/(4) be 3√(30). Then the positive value of 5α + β is
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QUESTION #0 Line and Point Relations
Let A and B be two distinct points on the line L: (x - 6)/(3) = (y - 7)/(2) = (z - 7)/(-2). Both A and B are at a distance 2√(17) from the foot of perpendicular drawn from the point (1,2,3) on the line L. If O is the origin, then OA· OB 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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