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The equation described on the chord $3x + y + 5 = 0$ of the circle $x^2 + y^2 = 16$ as a diameter, is:

(A) $x^2 + y^2 + 3x + y - 2 = 0$

(B) $x^2 + y^2 + 3x + y - 22 = 0$

(C) $x^2 + y^2 + 3x + y + 1 = 0$

(D) $x^2 +y ^2 + 3x +y - 11 = 0$

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They want the equation of the red circle in the picture below.

I agree that is badly written.

I had said:

Given line $3x+y+5=0$ and circle $x^2+y^2=16$ call $A$ and $B$ their intersection points. Find the equation of the circle having $AB$ as diameter.

enter image description here

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  • $\begingroup$ Thank you. It helped a lot! $\endgroup$ – user868699 Jan 14 at 8:30

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