If the focus of the parabola $x^{2} - k y + 3 = 0$ is $(0, 2)$ then the values of k are?

\frac{3}{2}

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Solution

The correct option is A $\frac{3}{2}$
$f o c u s o f p a r a b o l a x^{2} - k y + 3 = 0 i s (0, 2), t h e n v a l u e o f k b y p u t t i n g x = 0 a n d y = 2 i n e q^{n} \Rightarrow 0 - k \times 2 + 3 = 0 \Rightarrow - 2 k + 3 = 0 2 k = 3, k = \frac{3}{2}$

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