Question

find the focus and directrix of parabola y²=10x​

Answer 1

Answer:

Parabola equation

${y}^{2} = 4ax \\ {y}^{2} = 10x \\ 4a = 10 \: \: \: a = \frac{10}{4} \\ then \: equation \: of \: directrix \: is \: x = - a \: so \:x = \frac{ - 10}{4 } \\ focus \: is \: (a \: 0) \: so \: \: ( \frac{10}{4} \: \: 0)$

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