jee_main_2025_04_april_evening - Three Dimensional Geometry Topics

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QUESTION #56 Shortest Distance Between Two Lines
Let the values of p, for which the shortest distance between the lines (x + 1)/(3) = (y)/(4) = (z)/(5) and r = (p i + 2 j + hatk) + λ (2hati + 3hatj + 4hatk) is 1sqrt6, be a, b, (a < b). Then the length of the latus rectum of the ellipse (x²)/(a²) + (y²)/(b²) = 1 is:
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QUESTION #69 Angle Between Two Lines
Let A be the point of intersection of the lines L _ 1: (x - 7)/(1) = (y - 5)/(0) = (z - 3)/(- 1) and L₂: x - 13 = y + 34 = z + 75. Let B and C be the point on the lines L₁ and L₂ respectively such that AB = AC = √(15). Then the square of the area of the triangle ABC is :
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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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