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Question

On a graph paper, draw the lines x=3 and y=-5.

Now,on the same graph paper,draw the locus of the point which is equidistant from the given lines.

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Solution

On the graph, draw axis XOX’ and YOY’

Draw a line l, x = 3 which is parallel to y-axis

And draw another line m, y = -5, which is parallel to x-axis

These two lines intersect each other at P.

Now draw the bisector p of angle P.

Since p is the bisector of P, any point on P is equidistant from l and m.

Therefore, this line p is equidistant from l and m


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Locus of the Points Equidistant from Two Intersecting Lines
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