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Circle through the vertices of an equilateral triangle centred at the origin (median = 3r/2)

This type of question, asked 2 times: 23 Apr 2025 S1, 14 May 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    23 Apr 2025 S1

    105
    Let the circle with center at origin pass through the vertices of an equilateral triangle ABC . If A≡(2,4)A\equiv (2,4), then the length of the median through A is

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  2. Question 2

    14 May 2026 S1

    59
    The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length 3a3a is

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