The equation x² +y² = 15 is symmetry concerning both axis and the origin.
since the given equation is : x² +y² = 15 ,Now, for the symmetry in the x-axis, we replace the y with - y, and we get
=>x² +(-y)² = 15
=>x² +y² = 15 ,Here we can see we get the same equation, so its symmetry in the axis .for the symmetry in the y-axis, we replace x with - x , and we get
=>(-x)² +y² = 15
=>x² +y² = 15, here we get the same equation even after replacing the value of y so it is symmetry in the x-axis .Now for the symmetry on the origin, we replace the values of (x,y) with (-x,-y), and we get
=>(-x)² +(-y)² = 15
=>x² +y² = 15, here we are getting the same equation after the substituting so it is symmetry in the origin.
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