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Mathematics · JEE

Three Dimensional Geometry Revision for JEE

25+ syllabus-aligned questions available

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Revise Three Dimensional Geometry by covering every subtopic once, drilling formulas, then solving 25+ timed MCQs with full solutions.

Use this Three Dimensional Geometry revision checklist before mocks and the final exam. Reinforce concepts with 25+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Direction ratios and cosines
  2. 2.Equation of line in 3D
  3. 3.Skew lines shortest distance
  4. 4.Revise Coordinates of a point in space, the distance between two points, section formula with 10 MCQs
  5. 5.Revise Direction ratios and direction cosines and the angle between two intersecting lines with 10 MCQs
  6. 6.Revise Equation of a line; Skew lines, the shortest distance between them and its equation with 10 MCQs

JEE Formula Sheet

36+ important formulas for Three Dimensional Geometry

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Subtopics in Three Dimensional Geometry

View Three Dimensional Geometry formula sheet — 36+ JEE formulas

Free sample questions

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Q1MathsUnit 11: Three Dimensional Geometry
The plane x−2y+z−6=0\boldsymbol{x}-\mathbf{2} \boldsymbol{y}+\boldsymbol{z}-\boldsymbol{6}=\mathbf{0} and the line x1=y2=z3\frac{x}{1}=\frac{y}{2}=\frac{z}{3} are related as
Q2MathsUnit 11: Three Dimensional Geometry
Statement-1: The point A(3,1,6)\boldsymbol{A}(\mathbf{3}, \mathbf{1}, \boldsymbol{6}) is the mirror image of the point B(1,3,4)B(1,3,4) in the plane x−y+z=5\boldsymbol{x}-\boldsymbol{y}+\boldsymbol{z}=\mathbf{5} Statement-2: The plane x−y+z=5\boldsymbol{x}-\boldsymbol{y}+\boldsymbol{z}=\mathbf{5} bisects the line segment joining A(3,1,6)\boldsymbol{A}(\boldsymbol{3}, \mathbf{1}, \boldsymbol{6}) and B(1,3,4)\boldsymbol{B}(\mathbf{1}, \boldsymbol{3}, \boldsymbol{4})
Q3MathsUnit 11: Three Dimensional Geometry
How many cubes each of surface area 24cm224 c m^{2} can be made out of a cube of edge measure 1m?1 \mathrm{m} ?
Q4MathsUnit 11: Three Dimensional Geometry
In three dimensions, the coordinate axes of a rectangular cartesian coordinate system are
Q5MathsUnit 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
Q6MathsUnit 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})
Q7MathsUnit 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}=?
Q8MathsUnit 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

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How should I revise Three Dimensional Geometry before JEE?

Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.

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