Mathematics · JEE

Important Questions: Distance formula, sections formula, locus and its equation for JEE

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The most important Distance formula, sections formula, locus and its equation questions for JEE cover conceptual traps, standard results, and numerical patterns from Distance formula, sections formula, locus and its equation. Goodmarks provides 18+ high-yield MCQs with full solutions.

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Q1MathsUnit 10: Co-ordinate Geometry
The triangle formed by the points AA ( 2a2 a, 4a),B (2a,6a) and C (2a+\sqrt{3a,5a) is : }
Q2MathsUnit 10: Co-ordinate Geometry
In the adjoining figure AB=\boldsymbol{A B}= 12cm,CD=8cm,BD=20cm12 c m, C D=8 c m, B D=20 \mathrm{cm} ABD=AEC=EDC=90.\angle A B D=\angle A E C=\angle E D C=90^{\circ} . If BE=x,B E=x, then
Q3MathsUnit 10: Co-ordinate Geometry
The perimeter of a triangle formed by points (0,0),(6,0),(0,6)(\mathbf{0}, \mathbf{0}),(\mathbf{6}, \mathbf{0}),(\mathbf{0}, \mathbf{6}) is
Q4MathsUnit 10: Co-ordinate Geometry
ABCDA B C D is a parallelogram. LL is a point on BCB C which divides BCB C in the ratio 1:2.AL\mathbf{1}: \mathbf{2} . \boldsymbol{A} \boldsymbol{L} intersects BD\boldsymbol{B} \boldsymbol{D} at P.M\boldsymbol{P} . \boldsymbol{M} is a point on DCD C which divides DCD C in the ratio 1: 2 and AMA M intersects BDB D in QQ Point PP divides ALA L in the ratio
Q5MathsUnit 10: Co-ordinate Geometry
Mid point A(0,0)\boldsymbol{A}(\mathbf{0}, \mathbf{0}) and B(1024,2048)\boldsymbol{B}(\mathbf{1 0 2 4}, \mathbf{2 0 4 8}) is A1A_{1} and mid point of A1A_{1} and BB is A2A_{2} and so on. Coordinates of A10\boldsymbol{A}_{\mathbf{1 0}} are:
Q6MathsUnit 10: Co-ordinate Geometry
Two quadrilaterals, a square and a rectangle are not similar as they \ldots. in shape as well as size.
Q7MathsUnit 10: Co-ordinate Geometry
A table cover 6m×3m6 m \times 3 m is spread on a table top. If 25cm25 \mathrm{cm} of the cover hangs all around the table then the cost of polishing the table @ Rs 12m212 m^{2} is
Q8MathsUnit 10: Co-ordinate Geometry
Use the following figure to find AEA E, if BD=4.1cmB D=4.1 \mathrm{cm}

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What makes a Distance formula, sections formula, locus and its equation question "important" for JEE?

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

Which subtopics in Co-ordinate Geometry are high-weightage?

Key areas include Distance formula, sections formula, locus and its equation. Prioritise these before moving to edge cases.

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Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

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