jee_main_2025_04_april_morning - Conic Sections Topics

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Sample Questions in this Chapter

QUESTION #67 Ellipse - Foci and Latus Rectum
The length of the latus-rectum of the ellipse, whose foci are (2, 5) and (2, -3) and eccentricity is (4)/(5), is
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QUESTION #74 Tangents to Conics
Let C be the circle x² + (y - 1)² = 2, E₁ and E₂ be two ellipses whose centres lie at the origin and major axes lie on the x-axis and y-axis respectively. Let the straight line x + y = 3 touch the curves C, E₁ and E₂ at P(x₁, y₁), Q(x₂, y₂) and R(x₃, y₃) respectively. Given that P is the mid-point of the line segment QR and PQ = 2√(2)3, the value of 9(x₁y₁ + x₂y₂ + x₃y₃) is equal to
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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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