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

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Revise Coordinates of a point in space, the distance between two points, section formula by covering every subtopic once, drilling formulas, then solving 10+ timed MCQs with full solutions.

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Revision checklist

  1. 1.Core idea: Coordinates of a point in space, the distance between two points, section formula
  2. 2.Relates to other subtopics in Three Dimensional Geometry
  3. 3.Direction ratios and cosines
  4. 4.Equation of line in 3D
  5. 5.Master Coordinates of a point in space, the distance between two points, section formula definitions and standard results
  6. 6.Solve 20 timed MCQs for Coordinates of a point in space, the distance between two points, section formula

Syllabus context

Part of Three Dimensional Geometry in JEE Main Mathematics.

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Q1MathsUnit 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})
Q2MathsUnit 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} ?
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
If z1z_{1} and z2z_{2} are zz co-ordinates of the points of trisection of the segment joining the points A(2,1,4),B(−1,3,6)\boldsymbol{A}(\mathbf{2}, \mathbf{1}, \mathbf{4}), \boldsymbol{B}(-\mathbf{1}, \mathbf{3}, \mathbf{6}) then z1+z2=z_{1}+z_{2}=
Q6MathsUnit 11: Three Dimensional Geometry
If the surface area of a sphere is 9856cm2.9856 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),(0,4,4), is
Q8MathsUnit 11: Three Dimensional Geometry
In geometry, we take a point, a line and a plane as undefined terms.

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How should I revise Coordinates of a point in space, the distance between two points, section formula before JEE?

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

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