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If the sum of the distances of a moving ...

If the sum of the distances of a moving point in a plane from the axes is `1,` then find the locus of the point.

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The correct Answer is:
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Let the coordinate of moving point P be (x,y).
Given that, the sum of distances of this point in a plane from the axes is 1.
`therefore |x|+|y|=1`
`rArrpmxpmy=1`
`rArrx+y=1`
`rArr-x-y=1`
`rArr-x+y=1`
`rArrx-y=1`
So, these equations give us locus of the point which is a square.
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