Mathematics · JEE

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

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Part of Three Dimensional Geometry in JEE Main Mathematics.

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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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Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Three Dimensional Geometry are high-weightage?

Key areas include Coordinates of a point in space, the distance between two points, section formula. Prioritise these before moving to edge cases.

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