Mathematics · JEE

Co-ordinate of the centroid, orthocentre and circumcentre of a triangle Concepts for JEE

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Master Co-ordinate of the centroid, orthocentre and circumcentre of a triangle by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

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Concept explainer

Co-ordinate of the centroid, orthocentre and circumcentre of a triangle 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 Co-ordinate of the centroid, orthocentre and circumcentre of a triangle in the JEE syllabus
Memorise key formulas and standard results linked to Co-ordinate of the centroid, orthocentre and circumcentre of a triangle
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise Co-ordinate of the centroid, orthocentre and circumcentre of a triangle with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Co-ordinate of the centroid, orthocentre and circumcentre of a triangle and reattempt after 48 hours

Common trap

Students often rush Co-ordinate of the centroid, orthocentre and circumcentre of a triangle 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

P

is any point on the circumcircle of

\triangle A B C

other than the vertices.

H

is the orthocenter of

\triangle A B C, M

is the mid- point of

\boldsymbol{P H}

and

\boldsymbol{D}

is the mid-point of

B C .

Then

Q2MathsUnit 10: Co-ordinate Geometry

If the midpoints of the sides of an equilateral triangle are connected, then they divide it into four triangles all of which are

Q3MathsUnit 10: Co-ordinate Geometry

E

and

F

are the mid-point of sides

B C

CA and

A B

\triangle A B C,

then area

\triangle A B C

area

\triangle \mathrm{DEF}=

Q4MathsUnit 10: Co-ordinate Geometry

In a triangle

A B C,

a line

P Q

is drawn parallel to

B C

, points

P

, Q being on

A B

and

A C

respectively. If

A B=3 A P

then what is the ratio of the area of triangle

A P Q

to the area of triangle

A B C ?

Q5MathsUnit 10: Co-ordinate Geometry

\triangle A B C

is an isosceles triangle with

A B=A C .

Then the line of symmetry for the

\triangle A B C

will be: This question has multiple correct options

Q6MathsUnit 10: Co-ordinate Geometry

If the area of two similar triangles are equal, then they are

Q7MathsUnit 10: Co-ordinate Geometry

In a

\triangle A B C,

perpendicular

A D

from

A

B C

meets

B C

D .

B D=8 \mathrm{cm}

D C=2 \mathrm{cm}

and

A D=4 \mathrm{cm},

then

Q8MathsUnit 10: Co-ordinate Geometry

An obtuse triangle will have one and only one angle.

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Frequently asked questions

What concepts in Co-ordinate of the centroid, orthocentre and circumcentre of a triangle are essential for JEE?

Focus on core ideas across Co-ordinate of the centroid, orthocentre and circumcentre of a triangle. JEE tests application, not just memorisation.