I know that one answer is: Yes, every curve in the first family of curves is ort

Question

I know that one answer is:

Yes, every curve in the first family of curves is orthogonal to every curve in the second family of curves. But now I am stuck at figuring out which sketch is the right one.

Sketch both families of curves on the same axes.

Thank you very much!

x2 + y2 ?=? ax x2 + y2 ?=? by I know that one answer is: Yes, every curve in the first family of curves is orthogonal to every curve in the second family of curves. But now I am stuck at figuring out which sketch is the right one. Sketch both families of curves on the same axes.

Explanation / Answer

The answer is option D.

All of them are circles and must pass through the origin.

First group of circles must have its centre on the x-axis.

Second group of circles must have its centre on the y-axis.

Blue circles are for x^2 + y^2 = ax

Green circles are for x^2 + y^2 = by

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