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Quiz for Conic Sections (Parabola, Ellipse, Hyperbola)

Course: JEE | Subject: Mathematics | Topic: Coordinate Geometry



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Q1: The standard equation of a parabola with vertex at origin and axis along the x-axis is:

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Q2: Which of the following is the eccentricity of a circle?

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Q3: What is the eccentricity of a parabola?

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Q4: The equation x^2 + y^2 + 2gx + 2fy + c = 0 represents a circle if:

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Q5: In the equation of an ellipse x^2/a^2 + y^2/b^2 = 1, if a > b, then the major axis is:

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Q6: What is the standard equation of a hyperbola with transverse axis along x-axis?

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Q7: Which conic section is defined as the set of all points where the distance from a fixed point and a fixed line is equal?

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Q8: What is the latus rectum of the parabola y^2 = 4ax?

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Q9: For an ellipse, the sum of the distances from any point on the ellipse to the two foci is:

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Q10: The asymptotes of a hyperbola are:

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Q11: The number of directrices in an ellipse is:

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Q12: The foci of a hyperbola lie:

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Q13: Which of the following conics does not have asymptotes?

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Q14: What is the length of the latus rectum of an ellipse?

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Q15: Which of the following represents an ellipse?

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Q16: In an ellipse, if e is the eccentricity, then:

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Q17: Which conic has the property that the difference of distances from any point to two fixed points is constant?

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Q18: In the parabola y^2 = 4ax, the focus is located at:

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Q19: Which of these represents the condition for a conic to be an ellipse?

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Q20: Which of these conics has only one focus and one directrix?

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