JEE Main Mathematics

Coordinate Geometry

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JEE Main Mathematics

Coordinate Geometry

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Coordinates, locus and the straight line in all its forms; the circle; and the parabola, ellipse and hyperbola in standard form.

Key formula

d = \frac{|ax_1 + by_1 + c|}{\sqrt{a^2 + b^2}}, \quad x^2 + y^2 + 2gx + 2fy + c = 0, \quad y^2 = 4ax, \quad \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

What this unit covers

Cartesian system of rectangular coordinates in a plane, distance formula, section formula
Locus and its equation
The slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes
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
Coordinates of the centroid, orthocentre and circumcentre of a triangle
Standard and general forms 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 the parabola, ellipse and hyperbola in standard forms