Q103 / 180 · KCET 2020 · Mathematics

If the parabola $x^{2}=4 a y$ passes through the point $(2,1)$, then the length of the latus rectum is

Correct answer
A
1
B
4
C
2
D
8

Solution

Given parabola $x^{2}=4 a y$ It is passes through $(2,1)$ $\therefore \quad 4=4 a$ $\therefore$ Length of latus rectum of parabola $x^{2}=4 a y$ is $4 a$ $\therefore \quad 4 a=4$ $\therefore \quad a=1$

Hence, the correct answer is option: 'A'.

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