jee_main_2024_01_february_morning - Conic Sections Topics

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

Sample Questions in this Chapter

QUESTION #13 Properties of Ellipse and Hyperbola
For 0<θ<π/2, if the eccentricity of the hyperbola x²-y² ²θ=5 is √(7) times the eccentricity of the ellipse x² ²θ+y²=5, then the value of θ is:
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QUESTION #16 Properties of Ellipse and Hyperbola
Let x²a²+ y²b²=1, a>b be an ellipse, whose eccentricity is 1√(2) and the length of the latus rectum is √(14). Then the square of the eccentricity of x²a²- y²b²=1 is:
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QUESTION #18 Intersection of Circles
Let C:x²+y²=4 and C:x²+y²-4λ x+9=0 be two circles. If the set of all values of λ so that the circles C and C' intersect at two distinct points, is R - [a, b], then the point (8a+12,16b-20) lies on the curve:
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QUESTION #26 Tangents and Condition of Tangency
Let the line L -:√(2)x+y=α pass through the point of the intersection P (in the first quadrant) of the circle x²+y²=3 and the parabola x²=2y. Let the line L touch two circles C₁ and C₂ of equal radius 2√(3). If the centres Q₁ and Q₂ of the circles C₁ and C₂ lie on the y-axis, then the square of the area of the triangle PQ₁Q₂ 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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