jee_main_2025_02_april_morning - Conic Sections Topics

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

Sample Questions in this Chapter

QUESTION #0 Properties of Hyperbola
Let one focus of the hyperbola H: fracx^2a^2 - fracy^2b^2 = 1 be at (sqrt10, 0) and the corresponding directrix be x = frac9sqrt10. If e and l respectively are the eccentricity and the length of the latus rectum of H, then 9(e^2 + l) is equal to:
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QUESTION #0 Properties of Ellipse
If S and S' are the foci of the ellipse fracx^218 + fracy^29 = 1 and P be a point on the ellipse, then min(SP cdot S'P) + max(SP cdot S'P) is equal to:
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QUESTION #0 Properties of Parabola
Let the focal chord PQ of the parabola y^2 = 4x make an angle of 60^circ with the positive x-axis, where P lies in the first quadrant. If the circle, whose one diameter is PS, S being the focus of the parabola, touches the y-axis at the point (0, a), then 5a^2 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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