jee_main_2024_31_jan_morning - Conic Sections Topics

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QUESTION #3 Hyperbola and Ellipse Properties
If the foci of a hyperbola are same as that of the ellipse (x²)/(9) + (y²)/(25) = 1 and the eccentricity of the hyperbola is (15)/(8) times the eccentricity of the ellipse, then the smaller focal distance of the point (√(2), (14)/(3)√((2)/(5))) on the hyperbola, is equal to
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QUESTION #27 Ellipse and Hyperbola Properties
Let the foci and length of the latus rectum of an ellipse (x²)/(a²) + (y²)/(b²) = 1, a > b be (± 5, 0) and √(50), respectively. Then, the square of the eccentricity of the hyperbola (x²)/(b²) - (y²)/(a² b²) = 1 equals
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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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