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Question: Answered & Verified by Expert
If the parabola $x^{2}=4 a y$ passes through the point $(2,1)$, then the length of the latus rectum is
MathematicsStatisticsKCETKCET 2020
Options:
  • A 1
  • B 4
  • C 2
  • D 8
Solution:
2588 Upvotes Verified Answer
The correct answer is: 1
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 $4 a$
$\therefore \quad 4 a=4$
$\therefore \quad a=1$

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