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प्रश्न
If the parabola y2 = 4ax passes through the point (3, 2), then the length of its latus rectum is ______.
विकल्प
`2/3`
`4/3`
`1/3`
4
उत्तर
If the parabola y2 = 4ax passes through the point (3, 2), then the length of its latus rectum is `4/3`.
Explanation:
Given parabola is y2 = 4ax
If the parabola is passing through (3, 2)
Then `(2)^2 = 4a xx 3`
⇒ `4 = 12a`
⇒ `a = 1/3`
Now length of the latus rectum = `4a = 4 xx 1/3 = 4/3`
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