Question

Find the equation of locus of a point which is equidistant from the coordinate axes.
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Answer 1

Solution - x² + y² = r²


Explaination -


Here , we have to find the equation of locus of a point which is equidistant from the coordinate axes.
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So , the x and y intercept would be equal .


The figure of the locus will always be a full circle of radius r .

See the attachment above .



AddiTiOnaL Information -


How to find the locus of any point :


First read the given condition carefully .


Assume that the locus has the coordinates ( h, k ).


Now , use the information given to get the required equation for the locus .


Note that at this step , the equation will have the variables h and k .


Now , substitute h as x want k as y to get the required Equation .

This is the answer .


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