Maths Straight Line Angle Between Two Straight Lines, Bisector of Angle Between Two Lines, Equation of Bisectors Subjective Type
Published on: August 14, 2026

The equation of perpendicular bisectors of the sides and of a triangle are and respectively. If the point is , then the equation of line is .Find .

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Let the equation of perpendicular bisector of is

The middle point of is , lies on line . Therefore

Also is perpendicular to . So the product of their slopes is .

i.e. or

On solving and , we get .

Similarly,

Hence the equation of is .

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