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

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Short tricks for Coordinates of a point in space, the distance between two points, section formula work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

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  • Coordinates of a point in space, the distance between two points, section formula focus drill

    Solve 15 mixed MCQs for Coordinates of a point in space, the distance between two points, section formula, review every explanation, and note formulas you hesitated on.

  • Calculus substitution scan

    Spot standard forms (sin²x, 1/(a²+x²), e^ax) before integrating — JEE rewards pattern recognition.

  • Graph sketch shortcut

    For coordinate geometry, mark intercepts and asymptotes first; many MCQs need only qualitative graph features.

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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