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Conic Sections (Class 11 — ~20% weight)

Circle, parabola, ellipse, hyperbola — standard equations and properties.

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Q1 · Conic Sections (Class 11 — ~20% weight) · EASY
The equation of the circle with centre at (3, -2) and radius 5 units is:
Q2 · Conic Sections (Class 11 — ~20% weight) · MEDIUM
An ellipse has its foci at (4, 0) and (-4, 0), and the length of its major axis is 10 units. The equation of the ellipse is:
Q3 · Conic Sections (Class 11 — ~20% weight) · HARD
A parabola has its vertex at the origin and its focus at (0, 3). If a point P(x, y) lies on this parabola and its distance from the directrix is 7 units, then the y-coordinate of point P is:
Q4 · Conic Sections (Class 11 — ~20% weight) · HARD
The length of the latus rectum of the parabola y² = 12x is: