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Find the equation of the circle (i) whos...

Find the equation of the circle (i) whose centre is (4,5), radius is 7, (ii) whose centre is (0, -4 ) and which touches the x-axis, (iii) which passes through the origin and cuts off intercepts of length ‘a ’, each from positive direction of the axes.

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Knowledge Check

  • Find the equation of the circle which passes through the origin and cuts off intercepts -2 and 3 from the coordinate axes .

    A
    `x^(2) + y^(2) + 2x + 3y = 0
    B
    ` x^(2) + y^(2) + 2x - 3y = 0 `
    C
    ` x^(2) + y^(2) - 2x + 3y = 0 `
    D
    ` x^(2) + y^(2) - 2x - 3y = 0 `
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