Question

# The power of the point (0, 0) with respect to the circle ${x^2} + {y^2} + 2x + 4y + 25 = 0$ is A. 25B. 24C. 36D. 38

So, here to find the power of point (0, 0) with respect to the given circle ${x^2} + {y^2} + 2x + 4y + 25 = 0$. We had to substitute the value of x = 0 and y = 0 in the equation of the circle.
So, the power of point (0, 0) will be ${\left( 0 \right)^2} + {\left( 0 \right)^2} + 2\left( 0 \right) + 4\left( 0 \right) + 25 = 25$
Hence, the power of the origin (i.e. (0, 0) with respect to the circle ${x^2} + {y^2} + 2x + 4y + 25 = 0$ will be 25.