jee_main_2025_29_jan_morning - Conic Sections Topics

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QUESTION #0 Parabola Intersection
Two parabolas have the same focus (4,3) and their directrices are the x-axis and the y-axis, respectively. If these parabolas intersect at the points A and B, then (AB)² is equal to
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QUESTION #0 Ellipse Intersection and Properties
Let the ellipse, E₁: x²a² + y²b² = 1 , a > b and E₂: x²A² + y²B² = 1 , A < B have same eccentricity 1√(3) . Let the product of their lengths of latus rectums be 32√(3) , and the distance between the foci of E₁ be 4. If E₁ and E₂ meet at A,B,C and D, then the area of the quadrilateral ABCD equals:
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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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