Mathematics · JEE

Equation of a line; Skew lines, the shortest distance between them and its equation Previous Year Questions for JEE

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Q1MathsUnit 11: Three Dimensional Geometry
Find the equation of the plane through the points A(2,21),B(3,4,2)\boldsymbol{A}(\mathbf{2}, \mathbf{2}-\mathbf{1}), \boldsymbol{B}(\mathbf{3}, \mathbf{4}, \mathbf{2}) and C(7,0,6)\boldsymbol{C}(\boldsymbol{7}, \boldsymbol{0}, \boldsymbol{6})
Q2MathsUnit 11: Three Dimensional Geometry
The shortest distance between the lines x54=y75=z+35\frac{\boldsymbol{x}-\mathbf{5}}{\mathbf{4}}=\frac{\boldsymbol{y}-\mathbf{7}}{-\mathbf{5}}=\frac{\boldsymbol{z}+\mathbf{3}}{-\mathbf{5}} and x84=\frac{\boldsymbol{x}-\mathbf{8}}{\mathbf{4}}= y75=z55\frac{y-7}{-5}=\frac{z-5}{-5} is
Q3MathsUnit 11: Three Dimensional Geometry
The foot of the perpendicular from the point A(7,14,5)\boldsymbol{A}(\mathbf{7}, \mathbf{1 4}, \mathbf{5}) to the plane 2x+4y\mathbf{2} \boldsymbol{x}+\mathbf{4} \boldsymbol{y}- z=2z=2 is?
Q4MathsUnit 11: Three Dimensional Geometry
A line d.c's proportional to (2,1,2) meets each of the lines x=y+a=z\boldsymbol{x}=\boldsymbol{y}+\boldsymbol{a}=\boldsymbol{z} and x+a=2y=2z.x+a=2 y=2 z . Then the coordinates of each of the points of intersection are given by

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Our bank includes exam-style MCQs aligned with JEE Main Mathematics syllabus for Equation of a line; Skew lines, the shortest distance between them and its equation, covering the same topics as previous year papers.

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