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Consider the circle x2 + y2 – 8x + 2y – 8 = 0. Let C be the center of the circle. Also, the tangents to this circle at A(1, –5) and B(8, –4) meet at P. Let S = 0 represent the family of circles passing through A and B, then

Question

Consider the circle x2 + y2 – 8x + 2y – 8 = 0. Let C be the center of the circle. Also, the tangents to this circle at A(1, –5) and B(8, –4) meet at P. Let S = 0 represent the family of circles passing through A and B, then

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Solution 1

Consider the circle x2 + y2 – 8x + 2y – 8 = 0. Let C be the center of the circle. Also, the tangents to this circle at A(1, –5) and B(8, –4) meet at P. Let S = 0 represent the family of circles passing through A and B, then

Solution 2

Consider the circle x2 + y2 – 8x + 2y – 8 = 0. Let C be the center of the circle. Also, the tangents to this circle at A(1, –5) and B(8, –4) meet at P. Let S = 0 represent the family of circles passing through A and B, then

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