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jee_main_2025_03_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 #52 Intersection of Lines
Let a line passing through the point (4,1,0) [cite: 520] intersect the line L_1:fracx-12=fracy-23=fracz-34 at the point A(alpha, beta, gamma) [cite: 522, 523, 524] and the line L_2:x-6=y=-z+4 at the point B(a, b, c)[cite: 525]. Then the value of the determinant beginvmatrix 1 & 0 & 1 \\ alpha & beta & gamma \\ a & b & c endvmatrix is equal to[cite: 527]:
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QUESTION #70 Shortest Distance between Skew Lines
Line L_1 passes through the point (1, 2, 3) and is parallel to z-axis[cite: 685]. Line L_2 passes through the point (lambda, 5, 6) and is parallel to y-axis[cite: 686]. Let for lambda = lambda_1, lambda_2, lambda_2 < lambda_1 the shortest distance between the two lines be 3[cite: 698]. Then the square of the distance of the point (lambda_1, lambda_2, 7) from the line L_1 is[cite: 698, 700]:
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YOUR FIRST PREP STEP STARTS HERE

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