Mathematics · JEE

Coordinates of a point in space, the distance between two points, section formula Concepts for JEE

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Master Coordinates of a point in space, the distance between two points, section formula by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

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Concept explainer

Coordinates of a point in space, the distance between two points, section formula is a core JEE Main Mathematics subtopic under Three Dimensional Geometry. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

Understand the definition and scope of Coordinates of a point in space, the distance between two points, section formula in the JEE syllabus
Memorise key formulas and standard results linked to Coordinates of a point in space, the distance between two points, section formula
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise Coordinates of a point in space, the distance between two points, section formula with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Coordinates of a point in space, the distance between two points, section formula and reattempt after 48 hours

Common trap

Students often rush Coordinates of a point in space, the distance between two points, section formula questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Three Dimensional Geometry in JEE Main Mathematics.

Free sample questions

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Q1MathsUnit 11: Three Dimensional Geometry

Statement-1: The point

\boldsymbol{A}(\mathbf{3}, \mathbf{1}, \boldsymbol{6})

is the mirror image of the point

B(1,3,4)

in the plane

\boldsymbol{x}-\boldsymbol{y}+\boldsymbol{z}=\mathbf{5}

Statement-2: The plane

\boldsymbol{x}-\boldsymbol{y}+\boldsymbol{z}=\mathbf{5}

bisects the line segment joining

\boldsymbol{A}(\boldsymbol{3}, \mathbf{1}, \boldsymbol{6})

and

\boldsymbol{B}(\mathbf{1}, \boldsymbol{3}, \boldsymbol{4})

Q2MathsUnit 11: Three Dimensional Geometry

How many cubes each of surface area

24 c m^{2}

can be made out of a cube of edge measure

1 \mathrm{m} ?

Q3MathsUnit 11: Three Dimensional Geometry

In three dimensions, the coordinate axes of a rectangular cartesian coordinate system are

Q4MathsUnit 11: Three Dimensional Geometry

The ratio of the volume and surface area of a sphere of unit radius:

Q5MathsUnit 11: Three Dimensional Geometry

z_{1}

and

z_{2}

are

z

co-ordinates of the points of trisection of the segment joining the points

\boldsymbol{A}(\mathbf{2}, \mathbf{1}, \mathbf{4}), \boldsymbol{B}(-\mathbf{1}, \mathbf{3}, \mathbf{6})

then

z_{1}+z_{2}=

Q6MathsUnit 11: Three Dimensional Geometry

If the surface area of a sphere is

9856 c m^{2} .

Find its diameter.

Q7MathsUnit 11: Three Dimensional Geometry

Perimeter of triangle whose vertices are (0,4,0),(3,4,0) and

(0,4,4),

Q8MathsUnit 11: Three Dimensional Geometry

In geometry, we take a point, a line and a plane as undefined terms.

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