jee_main_2025_04_april_evening - Conic Sections Topics

Master these core formulas and structures to solve almost any past paper question.

Sample Questions in this Chapter

QUESTION #57 Parabola
The axis of a parabola is the line y = x and its vertex and focus are in the first quadrant at distances √(2) and 2√(2) units from the origin, respectively. If the point (1, k) lies on the parabola, then a possible value of k is:
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QUESTION #60 Hyperbola
Let the sum of the focal distances of the point P(4,3) on the hyperbola H: x²a² - y²b² = 1 be 8√((5)/(3)). If for H, the length of the latus rectum is l and the product of the focal distances of the point P is m, then 9l² + 6m is equal to:
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QUESTION #64 Ellipse
Let for two distinct values of p the lines y = x + p touch the ellipse E: (x²)/(4²) + (y²)/(3²) = 1 at the points A and B. Let the line y = x intersect E at the points C and D. Then the area of the quadrilateral ABCD is equal to
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QUESTION #0 Ellipse Properties
The centre of a circle C is at the centre of the ellipse E: (x²)/(a²) + (y²)/(b²) = 1, a > b. Let C pass through the foci F₁ and F₂ of E such that the circle C and the ellipse E intersect at four points. Let P be one of these four points. If the area of the triangle PF₁F₂ is 30 and the length of the major axis of E is 17, then the distance between the foci of E 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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