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 + r^2 is equal to
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QUESTION #67 Ellipse
Let C be the circle of minimum area enclosing the ellipse E: fracx^2a^2 + fracy^2b^2 = 1 with eccentricity frac12 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 y^2 = 8x and x^2 + y^2 + 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 3x^2 - y^2 - alpha x + beta y + gamma = 0, then alpha + beta + gamma is equal to
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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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