The distance formula is frequently asked in JEE Main exam. It involves finding the distance between two points in a coordinate plane using the formula:
d = √((x2 - x1)^2 + (y2 - y1)^2).

The section formula is also important, which helps in finding the coordinates of a point that divides a line segment in a given ratio.


Straight lines are an important topic in coordinate geometry. Questions related to slope, intercepts, equations of lines passing through given points, parallel and perpendicular lines, and intersection of lines are frequently asked in JEE Main. Students should have a good understanding of the various forms of the equation of a straight line such as slope-intercept form, point-slope form, and two-point form.


Questions related to the equation of a circle, finding the center and radius of a circle, tangents and normals to a circle, and intersection of lines and circles are commonly asked in the JEE Main exam. Students should be familiar with the standard form of a circle's equation: (x - h)^2 + (y - k)^2 = r^2.


Questions related to the equation of a parabola, vertex, focus, directrix, and various properties of parabolas are also frequently asked in JEE Main. Students should be familiar with the standard form of a parabola's equation: y = ax^2 + bx + c.


Questions related to the equation of an ellipse, center, major and minor axes, foci, and various properties of ellipses are important in JEE Main. Students should be familiar with the standard form of an ellipse's equation: (x - h)^2/a^2 + (y - k)^2/b^2 = 1.


Questions related to the equation of a hyperbola, center, foci, asymptotes, and various properties of hyperbolas are also asked in JEE Main. Students should be familiar with the standard form of a hyperbola's equation: (x - h)^2/a^2 - (y - k)^2/b^2 = 1.


Transformation of axes is an important topic in coordinate geometry. Questions related to rotation, translation, and scaling of coordinate axes are asked in JEE Main. Students should be able to transform equations of curves and lines under different transformations.


Questions related to the locus of a point satisfying certain conditions are frequently asked in JEE Main. Students should be able to find the equation of locus and solve problems involving loci.

In conclusion, coordinate geometry is an important topic in the JEE Main exam. Students should have a good understanding of distance and section formula, straight lines, circles, parabolas, ellips