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Family of lines continued and angle bise...

Family of lines continued and angle bisector

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Angle Bisectors

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Find equations of acute and obtuse angle bisectors of the angle between the lines 4x+3y-7=0 and 24x+7y-31=0 Also comment in which bisector origin lies.

Equation Of Angle Bisectors

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Prove that the centre of a circle touching two intersecting lines lies on the angle bisector of the lines.