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Circle concentric with a given circle satisfying one more condition

This type of question, asked 5 times: 3 May 2023 S1, 4 May 2023 S2, 9 May 2023 S2, 16 May 2023 S1, 13 Apr 2026 S2. All 5 questions below, oldest first.

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  1. Question 1

    3 May 2023 S1

    127
    The equation of the concentric circle, with circle C1C_1 having equation x2+y2−6x−4y−12=0x^2+y^2-6x-4y-12=0 and having double the area of C1C_1, is

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  2. Question 2

    4 May 2023 S2

    146
    The equation of the circle which passes through the centre of the circle x2+y2+8x+10y−7=0x^2+y^2+8x+10y-7=0 and concentric with the circle 2x2+2y2−8x−12y−9=02x^2+2y^2-8x-12y-9=0 is

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  3. Question 3

    9 May 2023 S2

    133
    The equation of the circle, concentric with the circle x2+y2−6x−4y−12=0x^2+y^2-6x-4y-12=0 and touching the X-axis is

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  4. Question 4

    16 May 2023 S1

    130
    The equation of the circle, concentric with the circle 2x2+2y2−6x+8y+1=02x^2+2y^2-6x+8y+1=0 and double of its area is

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  5. Question 5

    13 Apr 2026 S2

    59
    The equation of the circle concentric with circle x2+y2−6x+7=0x^2 + y^2 - 6x + 7 = 0 and which touches the line x+y+3=0x + y + 3 = 0 is ....

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