The co-ordinates of the focus of the parabola \((x+3)^2=2(y-5)\) is
The co-ordinates of the focus of the parabola \((x+3)^2=2(y-5)\) is
- \(\left(\frac{-5}{2}, 5\right)\)
- \(\left(-3, \frac{11}{2}\right)\)
- \(\left(3, \frac{-11}{2}\right)\)
- \(\left(0, \frac{1}{2}\right)\)
Solution
\(\begin{aligned}
& (x+3)^2=2(y-5) \\
& \therefore \quad \text {Vertex }=(-3,5), a=\frac{1}{2} \\
& \therefore \text {Focus }(s)=\left(-3,5+\frac{1}{2}\right)=\left(-3, \frac{11}{2}\right)
\end{aligned}\)
Hence, option (b) is correct.
Asked in: AP EAMCET 2020 (18 Sep Shift 2)
Practice more Parabola questions on Aicharya