jee_main_2026_22_january_evening - Conic Sections Topics

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QUESTION #11 Hyperbola Properties and Area of Triangle
Let P(10, 2√(15)) be a point on the hyperbola (x²)/(a²) - (y²)/(b²) = 1, whose foci are S and S'. If the length of its latus rectum is 8, then the square of the area of Δ PSS' is equal to:
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QUESTION #16 Ellipse Focal Distances
Let S and S' be the foci of the ellipse (x²)/(25) + (y²)/(9) = 1 and P(α, β) be a point on the ellipse in the first quadrant. If (SP)² + (S'P)² - SP · S'P = 37, then α² + β² is equal to:
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QUESTION #17 Locus of Midpoint of Chord
Let the locus of the mid-point of the chord through the origin O of the parabola y² = 4x be the curve S. Let P be any point on S. Then the locus of the point, which internally divides OP in the ratio 3:1, is:
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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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