Question

find equation of right bisector of line joining (3,5) and (1,6)​

Answer 1

Step-by-step explanation:

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11th

Maths

Straight Lines

Angles between Two Lines

Find the equation of the ri...

MATHS

Find the equation of the right bisector of the line segment joining the points (3,4) and (−1,2).

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VIDEO EXPLANATION



ANSWER

The right bisector of a line segment bisects the line segment at 90∘. 

The end-points of the line segment are given as A(3,4) and B(−1,2).

Accordingly, mid-point of AB ={23−1,24+2}=(1,3)

and slope of AB =−1−32−4=−4−2=21

∴ slope of line perpendicular to AB =−{21}1=−2

Thus equation of the line passing through (1,3) and having a slope of −2 is given by,  

(y−3)=−2(x−1)

⇒y−