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If vertex of a parabola is (2, −1) and the equation of its directrix is 4x − 3y = 21, then the length of its latus rectum is

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  1. 2
  2. 8
  3. 12
  4. 16

Answer (Detailed Solution Below)

Option 2 : 8
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Detailed Solution

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Calculation

qImage679bc1ae5cda2c1fd29d0de3

a = \(\frac{|8+3-21|}{5}\) = \(\frac{10}{5}\) = 2

∴ latus rectum = 4a = 8

Hence option 2 is correct

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