Goodmarks

Mathematics · JEE

Easy Equation of a line; Skew lines, the shortest distance between them and its equation MCQs for JEE

8+ syllabus-aligned questions available

Quick answer

Start JEE Equation of a line; Skew lines, the shortest distance between them and its equation preparation with easy MCQs, then progress to exam-level difficulty on Goodmarks (8+ available).

Build confidence with easy Equation of a line; Skew lines, the shortest distance between them and its equation MCQs before timed sets. Goodmarks offers 8+ syllabus-aligned questions with full solutions.

Syllabus context

Part of Three Dimensional Geometry in JEE Main Mathematics.

Free sample questions

Attempt 8 free MCQs for Equation of a line; Skew lines, the shortest distance between them and its equation. Unlock the full bank with Pro.

Unlock full bank
Q1MathsUnit 11: Three Dimensional Geometry
The equation of the plane passing through the intersection of the planes x+y+z=6\boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z}=\boldsymbol{6} and 2x+3y+4z+5=\boldsymbol{2} \boldsymbol{x}+\boldsymbol{3} \boldsymbol{y}+\boldsymbol{4} \boldsymbol{z}+\boldsymbol{5}= 0,0, and the point (1,1,1) is
Q2MathsUnit 11: Three Dimensional Geometry
Find the equation of the plane through the points A(2,2−1),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})
Q3MathsUnit 11: Three Dimensional Geometry
x−21=y−31=z−4−1&x−1k=\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-1} \& \frac{x-1}{k}= y−42=z−52\frac{\boldsymbol{y}-\boldsymbol{4}}{\boldsymbol{2}}=\frac{\boldsymbol{z}-\boldsymbol{5}}{\boldsymbol{2}} are coplanar then k=?\mathbf{k}=?
Q4MathsUnit 11: Three Dimensional Geometry
The shortest distance between the lines x−54=y−7−5=z+3−5\frac{\boldsymbol{x}-\mathbf{5}}{\mathbf{4}}=\frac{\boldsymbol{y}-\mathbf{7}}{-\mathbf{5}}=\frac{\boldsymbol{z}+\mathbf{3}}{-\mathbf{5}} and x−84=\frac{\boldsymbol{x}-\mathbf{8}}{\mathbf{4}}= y−7−5=z−5−5\frac{y-7}{-5}=\frac{z-5}{-5} is
Q5MathsUnit 11: Three Dimensional Geometry
If the points (x,y,−3),(2,0,−1)(x, y,-3),(2,0,-1) and (4,2,3) lies on a straight line, then what are the values of xx and yy respectively?
Q6MathsUnit 11: Three Dimensional Geometry
If the distance between a point PP and the point (1,1,1) on the line x−13=\frac{x-1}{3}= y−14=z−112\frac{y-1}{4}=\frac{z-1}{12} is 13,13, then the coordinates of PP are
Q7MathsUnit 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?
Q8MathsUnit 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

Want unlimited Equation of a line; Skew lines, the shortest distance between them and its equation practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started freeView Pro plans

Popular questions in Equation of a line; Skew lines, the shortest distance between them and its equation

Frequently asked questions

How should I use easy Equation of a line; Skew lines, the shortest distance between them and its equation MCQs?

Solve untimed first, review every explanation, then retry wrong questions after 48 hours.

Related topics