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Does (3,-4) lies on the locus x2+y2=25​

User Dmitry Z
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4 votes
yes! that is correct
User Simone Gianni
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8.3k points
4 votes

Answer:

Yes

Explanation:

Both arguments are squared so the equation are in the form of a circle.

A lotus is a point that is equidistant from some fixed point of a conic section. This is a circle so the fixed point is called a center of the circle.

The center of the circle is equidistant from any point on the circumference of the circle. In order for a point to be on the circle, it must satisfy the circle equation.


{x}^(2) + {y}^(2) = {r}^(2)

Let plug in what we know


3 {}^(2) + ( - 4) {}^(2) = {5}^(2)


9 + 16 = {5}^(2)

So 3,-4 is on the locus of the circle.

User Igorek
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