Free physics question bank

Coordinate Geometry questions with solutions

Practice Mathematical tools and vector for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.

Showing 1–10 of 70 questions

  • IntegermediumMathematical tools and vector

    If the lines kx + 2y - 3 = 0 and 4x - 2y + 5 = 0 are perpendicular, find k.

    NEETJEE Mains

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  • IntegermediumMathematical tools and vector

    Find the length of the latus rectum of the parabola y² = 12x.

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  • MCQmediumMathematical tools and vector

    A particle moves such that x = 2t and y = 4t². Which equation represents its trajectory?

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  • MCQmediumMathematical tools and vector

    Find the equation of an ellipse centred at the origin, having semi-major axis 5 along the x-axis and semi-minor axis 3.

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  • IntegermediumMathematical tools and vector

    Find the distance between the parallel lines 3x + 4y - 5 = 0 and 3x + 4y + 15 = 0.

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  • IntegermediumMathematical tools and vector

    The trajectory of a projectile is y = x - x²/20, where x and y are in metres. Find its horizontal range, in metres.

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  • IntegermediumMathematical tools and vector

    Find the length of the minor axis of the ellipse x²/49 + y²/25 = 1.

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  • MCQmediumMathematical tools and vector

    Find the vertices on the major axis of the ellipse x²/36 + y²/20 = 1.

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  • MCQmediumMathematical tools and vector

    Find the centre and radius of the circle x² + y² - 6x + 8y - 11 = 0.

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  • MCQmediumMathematical tools and vector

    Find the vertex of the parabola (y - 3)² = 8(x + 2).

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