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jee_main_2025_02_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 #51 Image of a Point in a Line
If the image of the point mathrmP(1, 0, 3) in the line joining the points mathrmA(4, 7, 1) and mathrmB(3, 5, 3) is mathrmQ(alpha, beta, gamma), then alpha + beta + gamma is equal to
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QUESTION #56 Shortest Distance between Skew Lines
The line mathrmL_1 is parallel to the vector vecmathrma = -3hatmathrmi + 2hatmathrmj + 4hatmathrmk and passes through the point (7, 6, 2) and the line mathrmL_2 is parallel to the vector vecmathrmb = 2hatmathrmi + hatmathrmj + 3hatmathrmk and passes through the point (5, 3, 4). The shortest distance between the lines mathrmL_1 and mathrmL_2 is:
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QUESTION #74 Area of Triangles
Let mathrmA(4, -2), mathrmB(1, 1) and mathrmC(9, -3) be the vertices of a triangle ABC. Then the maximum area of the parallelogram AFDE, formed with vertices D, E and F on the sides BC, CA and AB of the triangle ABC respectively, is ____________.
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