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If the equation, ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 represent a pair of straight lines, prove that the equation to the third pair of straight lines passing through the points where these meet the axes is, ax2 − 2 hxy + by2 + 2 gx + 2 fy + c + 4fg/ c xy = 0

 If the equation, ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 represent a pair of straight lines, prove that the equation to the third pair of straight lines passing through the points where these meet the axes is, ax2 − 2 hxy + by2 + 2 gx + 2 fy + c + 4fg/ c xy = 0

Grade:12th pass

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