Q1MathsUnit 10: Co-ordinate Geometry
Equation of a straight line meeting the circle in two points each
point at a distance of 4 from the point (8,6) on the circle is
Mathematics · JEE
Points of intersection of a line and a circle with the centre at the origin Concepts for JEE
1+ syllabus-aligned questions available
Quick answer
Master Points of intersection of a line and a circle with the centre at the origin by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.
Build clear conceptual foundations for Points of intersection of a line and a circle with the centre at the origin before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.
Concept explainer
Points of intersection of a line and a circle with the centre at the origin 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 Points of intersection of a line and a circle with the centre at the origin in the JEE syllabus
- Memorise key formulas and standard results linked to Points of intersection of a line and a circle with the centre at the origin
- Practise 20–40 syllabus-aligned MCQs with step-by-step solutions
JEE tips
- Revise Points of intersection of a line and a circle with the centre at the origin with a one-page formula sheet before attempting mixed tests
- After each practice set, log mistakes specific to Points of intersection of a line and a circle with the centre at the origin and reattempt after 48 hours
Common trap
Students often rush Points of intersection of a line and a circle with the centre at the origin 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 1 free MCQs for Points of intersection of a line and a circle with the centre at the origin. Unlock the full bank with Pro.
Want unlimited Points of intersection of a line and a circle with the centre at the origin practice?
Pro unlocks the full question bank, topic filters, and attempt history.
Popular questions in Points of intersection of a line and a circle with the centre at the origin
Frequently asked questions
What concepts in Points of intersection of a line and a circle with the centre at the origin are essential for JEE?
Focus on core ideas across Points of intersection of a line and a circle with the centre at the origin. JEE tests application, not just memorisation.
Related topics
How to Prepare: Points of intersection of a line and a circle with the centre at the origin
JEE preparation strategy and study plan
Practice: Points of intersection of a line and a circle with the centre at the origin
Online Practice
MCQs: Points of intersection of a line and a circle with the centre at the origin
MCQs
PYQs: Points of intersection of a line and a circle with the centre at the origin
Previous Year Questions
Important: Points of intersection of a line and a circle with the centre at the origin
Important Questions
Mock Test: Points of intersection of a line and a circle with the centre at the origin
Mock Test
Notes: Points of intersection of a line and a circle with the centre at the origin
Notes & Formulas
Mistakes: Points of intersection of a line and a circle with the centre at the origin
Common Mistakes
Weightage: Points of intersection of a line and a circle with the centre at the origin
Weightage
Revision: Points of intersection of a line and a circle with the centre at the origin
Revision
Tricks: Points of intersection of a line and a circle with the centre at the origin
Short Tricks
Easy: Points of intersection of a line and a circle with the centre at the origin
Easy MCQs