MCQ
The four distinct points $(0, 0),(2, 0), (0, -2)$ and $(k,-2)$ are con-cyclic, if $k =$
- A$-2$
- ✓$2$
- C$1$
- D$0$
✓
Answer
Correct option: B.
$2$
b
(b) The equation of circle passing through $(0,\,0),\,\,(2,\,0)$ and $(0, -2)$ is
(b) The equation of circle passing through $(0,\,0),\,\,(2,\,0)$ and $(0, -2)$ is
${x^2} + {y^2} - 2x + 2y = 0$.
If it passes through $(k,\, - 2)$, then ${k^2} + 4 - 2k - 4 = 0$
$ \Rightarrow \,k = 0,\,2$
$(0,\, - 2)$ is already a point on circle $\therefore $ $k = 2.$
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