Mathematics · JEE

Co-ordinate Geometry Short Tricks for JEE

115+ syllabus-aligned questions available

Quick answer

Short tricks for Co-ordinate Geometry work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.

Use these Co-ordinate Geometry shortcuts to save time in JEE Mathematics papers — then validate speed with 110+ MCQs on Goodmarks.

Short tricks for speed

Co-ordinate Geometry focus drill
Solve 15 mixed MCQs for Co-ordinate Geometry, 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.

JEE Formula Sheet

73+ important formulas for Co-ordinate Geometry

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Subtopics in Co-ordinate Geometry

View Co-ordinate Geometry formula sheet — 73+ JEE formulas

Free sample questions

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Q1MathsUnit 10: Co-ordinate Geometry

Draw a circle with centre

O

and radius

6 \mathrm{cm} .

Take a point

P

outside the circle at a distance of

10 \mathrm{cm}

from

0 .

Draw tangents to the circle from point

P .

Let the tangents intersect the circle in points

A

and

B

. Find the area of triangle OBPin sq.cm.

Q2MathsUnit 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

Q3MathsUnit 10: Co-ordinate Geometry

The distance from the centre to the circumference.

Q4MathsUnit 10: Co-ordinate Geometry

The ratio of the outer and inner perimeters of a circular path is 23: 22 If the path is

5 \mathrm{m}

wide what is the diameter of the circle? Also find the area of path enclosed between the two circles.

Q5MathsUnit 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

Q6MathsUnit 10: Co-ordinate Geometry

n the given figure, which of the following is a line of symmetry?

Q7MathsUnit 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}=

Q8MathsUnit 10: Co-ordinate Geometry

The lengths of the perpendicular from the points

\left(\boldsymbol{m}^{2}, \boldsymbol{2 m}\right),\left(\boldsymbol{m m}^{\prime}, \boldsymbol{m}+\boldsymbol{m}^{\prime}\right)

and

\left(m^{\prime 2}, 2 m^{\prime}\right)

to the line

x+y+1=0

form

\cos \alpha+y \sin \alpha+\sin \alpha \tan \alpha=0

are in

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Frequently asked questions

Are short tricks enough for Co-ordinate Geometry in JEE?

No — tricks complement concepts. Master the theory first, then use shortcuts in timed MCQ practice.