Question

Q.6
The point A has coordinates (-1. 6) and the point B has coordinates (7.2).
(i) Find the equation of the perpendicular bisector of AB. giving your answer in the form y = mx + c.
(ii) A point Con the perpendicular bisector has coordinates (p, q). The distance OC is 2 units, where
O is the origin. Write down two equations involving p and q and hence find the coordinates of
the possible positions of C.
[5]​

Answer 1

Answer:

Find the equation for the right bisector of the line segment joining the points A(1,0) and B(2,3).

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The mid-point is ((1+2)/2,(0+3)/2) = (3/2 , 3/2)

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The line thru AB is 3/1 = 3

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The slope of the bisector must be -1/3

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Form: y = mx+b

0 = (-1/3)1+b

b = 1/3

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Equation of perpendicular bisector is y = (-1/3)x+(1/3)

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Step-by-step explanation: