Multiple Choice Questions on On which line does the centre of the circle lie ........ for NDA Exam Preparation

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Multiple Choice Questions

On which line does the centre of the circle lie ........

Mathematics (NDA) Coordinate Geometry
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    Directions (Q. Nos. 102-103) Consider a circle passing through the origin and the points (a, b) and (−b, − a).

    On which line does the centre of the circle lie?

    x + y = 0

    Correct Answer

    x − y = 0

    Incorrect Answer

    x + y = a + b

    Incorrect Answer

    x − y = a2 − b2

    Incorrect Answer
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    Explanation:

    Given that circle passes through (0, 0), (a, b) and (−b, − a)

    From Eqs. (iv) and (v), we get
    f = − g => y = − x
    \therefore Required equation of line is x + y = 0

    By: Munesh Kumari
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