Mathematics · JEE

Distance formula, sections formula, locus and its equation Concepts for JEE

15+ syllabus-aligned questions available

Quick answer

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Concept explainer

Distance formula, sections formula, locus and its equation is a core JEE Main Mathematics subtopic under Co-ordinate Geometry. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

Understand the definition and scope of Distance formula, sections formula, locus and its equation in the JEE syllabus
Memorise key formulas and standard results linked to Distance formula, sections formula, locus and its equation
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise Distance formula, sections formula, locus and its equation with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Distance formula, sections formula, locus and its equation and reattempt after 48 hours

Common trap

Students often rush Distance formula, sections formula, locus and its equation questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Co-ordinate Geometry in JEE Main Mathematics.

Free sample questions

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Q1MathsUnit 10: Co-ordinate Geometry

In the adjoining figure

\boldsymbol{A B}=

12 c m, C D=8 c m, B D=20 \mathrm{cm}

\angle A B D=\angle A E C=\angle E D C=90^{\circ} .

B E=x,

then

Q2MathsUnit 10: Co-ordinate Geometry

The perimeter of a triangle formed by points

(\mathbf{0}, \mathbf{0}),(\mathbf{6}, \mathbf{0}),(\mathbf{0}, \mathbf{6})

Q3MathsUnit 10: Co-ordinate Geometry

A B C D

is a parallelogram.

L

is a point on

B C

which divides

B C

in the ratio

\mathbf{1}: \mathbf{2} . \boldsymbol{A} \boldsymbol{L}

intersects

\boldsymbol{B} \boldsymbol{D}

\boldsymbol{P} . \boldsymbol{M}

is a point on

D C

which divides

D C

in the ratio 1: 2 and

A M

intersects

B D

Q

Point

P

divides

A L

in the ratio

Q4MathsUnit 10: Co-ordinate Geometry

Mid point

\boldsymbol{A}(\mathbf{0}, \mathbf{0})

and

\boldsymbol{B}(\mathbf{1 0 2 4}, \mathbf{2 0 4 8})

A_{1}

and mid point of

A_{1}

and

B

A_{2}

and so on. Coordinates of

\boldsymbol{A}_{\mathbf{1 0}}

are:

Q5MathsUnit 10: Co-ordinate Geometry

Two quadrilaterals, a square and a rectangle are not similar as they

\ldots

. in shape as well as size.

Q6MathsUnit 10: Co-ordinate Geometry

A table cover

6 m \times 3 m

is spread on a table top. If

25 \mathrm{cm}

of the cover hangs all around the table then the cost of polishing the table @ Rs

12 m^{2}

Q7MathsUnit 10: Co-ordinate Geometry

Use the following figure to find

A E

, if

B D=4.1 \mathrm{cm}

Q8MathsUnit 10: Co-ordinate Geometry

A company makes a metallic block having square bases with volume 640

c m^{3},

and height

10 \mathrm{cm} .

If Robin wants to paint the block with the paints at the rate of Rs 15 per

c m^{2}

, then find the cost of painting Robin has to pay.

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Frequently asked questions

What concepts in Distance formula, sections formula, locus and its equation are essential for JEE?

Focus on core ideas across Distance formula, sections formula, locus and its equation. JEE tests application, not just memorisation.