jee_main_2026_22_january_evening - Conic Sections Topics

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Sample Questions in this Chapter

QUESTION #11 Hyperbola Properties and Area of Triangle
Let P(10, 2sqrt15) be a point on the hyperbola fracx^2a^2 - fracy^2b^2 = 1, whose foci are S and S'. If the length of its latus rectum is 8, then the square of the area of Delta PSS' is equal to:
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QUESTION #16 Ellipse Focal Distances
Let S and S' be the foci of the ellipse fracx^225 + fracy^29 = 1 and P(alpha, beta) be a point on the ellipse in the first quadrant. If (SP)^2 + (S'P)^2 - SP cdot S'P = 37, then alpha^2 + beta^2 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 y^2 = 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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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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