Q1MathsUnit 10: Co-ordinate Geometry
Are the points (1,1),(2,3) and (8,11) collinear?
Mathematics · JEE
Cartesian system of rectangular coordinates in a plane Concepts for JEE
7+ syllabus-aligned questions available
Quick answer
Master Cartesian system of rectangular coordinates in a plane by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.
Build clear conceptual foundations for Cartesian system of rectangular coordinates in a plane before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.
Concept explainer
Cartesian system of rectangular coordinates in a plane 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 Cartesian system of rectangular coordinates in a plane in the JEE syllabus
- Memorise key formulas and standard results linked to Cartesian system of rectangular coordinates in a plane
- Practise 20–40 syllabus-aligned MCQs with step-by-step solutions
JEE tips
- Revise Cartesian system of rectangular coordinates in a plane with a one-page formula sheet before attempting mixed tests
- After each practice set, log mistakes specific to Cartesian system of rectangular coordinates in a plane and reattempt after 48 hours
Common trap
Students often rush Cartesian system of rectangular coordinates in a plane 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.
- Cartesian system of rectangular coordinates in a plane
- Distance formula, sections formula, locus and its equation
- The slope of a line, parallel and perpendicular lines
- Intercepts of a line on the co-ordinate axis
- Straight line: Various forms of equations of a line, intersection of lines, angles between two lines
- Conditions for concurrence of three lines, the distance of a point from a line
- Co-ordinate of the centroid, orthocentre and circumcentre of a triangle
- Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre
- Equation of a circle when the endpoints of a diameter are given
- Points of intersection of a line and a circle with the centre at the origin
- Sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms
Free sample questions
Attempt 7 free MCQs for Cartesian system of rectangular coordinates in a plane. Unlock the full bank with Pro.
Q2MathsUnit 10: Co-ordinate Geometry
In abscissa of a point is negative and ordiante of is positive, then lies in :
Q3MathsUnit 10: Co-ordinate Geometry
If and co-ordinate of a point is then co-ordinate is
Q4MathsUnit 10: Co-ordinate Geometry
What is true about this figure?
Q5MathsUnit 10: Co-ordinate Geometry
Find the second component of an ordered pair (2,-3)
Q6MathsUnit 10: Co-ordinate Geometry
The centre of a square is at the origin
and vertex is Find the
ordinates of other vertices of the square
Q7MathsUnit 10: Co-ordinate Geometry
is a parallelogram of area
162 sq.cm. is a point on such
that
Calculate the ratio
Want unlimited Cartesian system of rectangular coordinates in a plane practice?
Pro unlocks the full question bank, topic filters, and attempt history.
Popular questions in Cartesian system of rectangular coordinates in a plane
- Find the second component of an ordered pair (2,-3)…
- \( A B C D \) is a parallelogram of area 162 sq.cm. \( P \) is a point on \( A B \) such that \( \boldsymbol{A P}: \bold…
- In abscissa of a point \( P \) is negative and ordiante of \( P \) is positive, then \( P \) lies in :…
- Are the points (1,1),(2,3) and (8,11) collinear?…
- If \( x \) and \( y \) co-ordinate of a point is \( (3,10), \) then \( y \) co-ordinate is…
- The centre of a square is at the origin and vertex is \( A(2,1) . \) Find the \( c 0 \) ordinates of other vertices of t…
Frequently asked questions
What concepts in Cartesian system of rectangular coordinates in a plane are essential for JEE?
Focus on core ideas across Cartesian system of rectangular coordinates in a plane. JEE tests application, not just memorisation.
Related topics
How to Prepare: Cartesian system of rectangular coordinates in a plane
JEE preparation strategy and study plan
Practice: Cartesian system of rectangular coordinates in a plane
Online Practice
MCQs: Cartesian system of rectangular coordinates in a plane
MCQs
PYQs: Cartesian system of rectangular coordinates in a plane
Previous Year Questions
Important: Cartesian system of rectangular coordinates in a plane
Important Questions
Mock Test: Cartesian system of rectangular coordinates in a plane
Mock Test
Notes: Cartesian system of rectangular coordinates in a plane
Notes & Formulas
Mistakes: Cartesian system of rectangular coordinates in a plane
Common Mistakes
Weightage: Cartesian system of rectangular coordinates in a plane
Weightage
Revision: Cartesian system of rectangular coordinates in a plane
Revision
Tricks: Cartesian system of rectangular coordinates in a plane
Short Tricks
Easy: Cartesian system of rectangular coordinates in a plane
Easy MCQs