36-Hour Power Prep: Coordinate Geometry for JEE

Course Overview

JEE 2D Mastery: Crack Coordinate Geometry in 36 Hours is a focused and fast-paced course tailored for aspirants of JEE (Main & Advanced). In just 36 hours, we cover the full spectrum of 2D Coordinate Geometry, combining deep conceptual learning with intensive problem-solving practice.
Through a structured breakdown of core chapters—Points & Lines, Circles, Conic Sections, and Transformations—this course enables learners to decode the most common question patterns, clear conceptual doubts, and boost accuracy and speed. Previous year questions and curated mock tests are integrated into the course to simulate the real exam experience.

Course Description

Struggling with slopes, circles, or eccentric conics? This course is your ultimate guide to mastering every concept and pattern in coordinate geometry.
In 36 targeted hours, you’ll learn:

How to visualize and interpret 2D geometry intuitively
The correct approach to solving JEE PYQs and high-yield problem types
Techniques for quick calculations and smart diagram analysis
How transformations and conic theory interplay in advanced questions

What’s Inside?

Structured lessons with real JEE examples
Quick revision notes and visual explainers
Topic-wise assignments and timed mock tests
Interactive concept boosters & reflection-based learning

Topics Covered

Points & Straight Lines—
- Cartesian system, distance, section formula, area of triangles.
- Slope, forms of lines, angle between lines, parallel/perpendicular conditions.
- Foot of perpendicular, reflection, distance of a point from a line.
Circles–
- Standard equations, parametric forms, position of a point relative to a circle.
- Tangents, normals, chord equations (parametric/power of point).
- Radical axis, family of circles, orthogonal circles.
Parabola, Ellipse, Hyperbola–
- Standard equations, foci, directrix, eccentricity, parametric forms.
- Tangents, normals, chord properties, reflection properties.
- Conic condition (Δ ≠ 0, e-based classification).
Transformations & Locus–
- Shifting of origin, rotation, homogenization.
- Common chords, radical center, co-axial circles.
- Homogeneous equations, pair of tangents, asymptotes.

Prerequisites

A basic understanding of algebra (quadratic equations, functions, inequalities)
Familiarity with Cartesian coordinates and elementary geometry
Enthusiasm to solve and analyze JEE-level problems
Suitable for Class 11–12 students & droppers preparing

Know Your Educator

Ashish Khare

A top educator of IIT-JEE & Maths Olympiads, Ashish Sir has mentored thousands of JEE rankers & admits to renowned foreign universities, including MIT, Stanford, UCB, etc., over the last 26 years.
Based in Jaipur, India, he is a senior mentor at Narayana Jaipur and teaches for top ranks of IIT-JEE and Maths Olympiads, along with being a mathematician at the American Mathematical Society.