Coordinate geometry of Circle and conic sections Topics - IIT JEE Syllabus

1

2m1/10

📌 Key Formula(x - h)² + (y - k)² = r², center (h, k), radius r

2

2m2/10

📌 Key Formulax² + y² + 2gx + 2fy + c = 0, center (-g, -f), radius = √(g² + f² - c)

3

2m2/10

📌 Key FormulaFrom general form: r = √(g² + f² - c), center (-g, -f)

4

2m2/10

📌 Key Formula(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0

5

2m3/10

📌 Key FormulaSolve line and circle equations. For tangent: perpendicular distance from center to line = radius.

6

2m3/10

📌 Key FormulaFor circle x² + y² = r², tangent at (x₁, y₁): xx₁ + yy₁ = r². For general circle: T = 0.

7

2m2/10

📌 Key FormulaIntroduction to parabola, ellipse, hyperbola as conic sections.

8

2m3/10

📌 Key Formulax²/a² + y²/b² = 1 (a > b), foci (±c, 0), c² = a² - b²

9

2m4/10

📌 Key FormulaFor parabola y² = 4ax, tangent y = mx + a/m, point of contact (a/m², 2a/m)

10

2m2/10

📌 Key Formulay² = 4ax, x² = 4ay, etc.

11

2m2/10

📌 Key Formulax²/a² - y²/b² = 1