jee_main_2024_30_january_evening - Conic Sections Topics

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QUESTION #3 Ellipse Properties
Let A(α, 0) and B(0, β) be the points on the line 5x + 7y = 50 . Let the point P divide the line segment AB internally in the ratio 7:3 . Let 3x - 25 = 0 be a directrix of the ellipse E: (x²)/(a²) + (y²)/(b²) = 1 and the corresponding focus be S . If from S , the perpendicular on the x-axis passes through P , then the length of the latus rectum of E is equal to
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QUESTION #10 Hyperbola
Let P be a point on the hyperbola H: (x²)/(9) -(y²)/(4) = 1 in the first quadrant such that the area of triangle formed by P and the two foci of H is 2√(13) . Then, the square of the distance of P from the origin is
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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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