find the equation and length of common chord
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Now, to find the equation of the common chord of two intersecting circles we will subtract the equation (ii) from the equation (i). ⇒ 2x + 12y + 27 = 0, which is the required equation. The slope of the common chord 2x + 12y + 27 = 0 is (m1) = -16. Centre of the circle x2 + y2 - 4x - 2y - 31 = 0 is (2, 1).
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