jee_main_2025_03_april_evening - Conic Sections Topics

Master these core formulas and structures to solve almost any past paper question.

Sample Questions in this Chapter

QUESTION #53 Circles
If the four distinct points (4, 6), (-1, 5), (0, 0) and (k, 3k) lie on a circle of radius r, then 10k + r² is equal to
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QUESTION #67 Ellipse
Let C be the circle of minimum area enclosing the ellipse E: (x²)/(a²) + (y²)/(b²) = 1 with eccentricity (1)/(2) and foci (pm 2, 0). Let PQR be a variable triangle, whose vertex P is on the circle C and the side QR of length 8 is parallel to the major axis of E and contains the point of intersection of E with the negative y-axis. Then the maximum area of the triangle PQR is:
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QUESTION #68 Parabola
The shortest distance between the curves y² = 8x and x² + y² + 12y + 35 = 0 is :
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QUESTION #75 Hyperbola
If the equation of the hyperbola with foci (4, 2) and (8, 2) is 3x² - y² - α x + β y + γ = 0, then α + β + γ is equal to
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Rankbit System
JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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