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 Short Tricks for JEE
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Short tricks for Points of intersection of a line and a circle with the centre at the origin work only with strong fundamentals. Apply the tips below in timed sets and review every explanation.
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Short tricks for speed
Points of intersection of a line and a circle with the centre at the origin focus drill
Solve 15 mixed MCQs for Points of intersection of a line and a circle with the centre at the origin, 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.
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
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