The point diametrically opposite to the point $P(1,0)$ on the circle $x^2+y^2+2 x+4 y-3=0$ is

The point diametrically opposite to the point $P(1,0)$ on the circle $x^2+y^2+2 x+4 y-3=0$ is
  1. $(3,-4)$
  2. $(-3,4)$
  3. $(-3,-4)$
  4. $(3,4)$

Solution

Centre $(-1,-2)$ Let $(\alpha, \beta)$ is the required point $\frac{\alpha+1}{2}=-1$ and $\frac{\beta+0}{2}=-2$.

Asked in: JEE Main 2008

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