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A B is a line segment. P\ a n d\ Q are p...

`A B` is a line segment. `P\ a n d\ Q` are points on opposite sides of `A B` such that each of them is equidistant from the points `A\ a n d\ B` (in figure). Show that the line `P Q` is perpendicular bisector of `A B`

Answer

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AB is a line-segment.P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (see Fig.7.37 ).Show that the line PQ is the perpendicular bisector of AB

In the given figure, AB is a line segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B. Show that the line PQ is the perpendicular bisector of AB.

Knowledge Check

  • If the point P(p,q) is equidistant from the points A(a+b,b-a)and B(a-b,a+b), then

    A
    `ap=bq`
    B
    `aq=bp`
    C
    `p^(2)-q^(2)=2(ap+bp)`
    D
    `P can be (a,b)`

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