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AP EAMCET202022 Sep 2020Morning ShiftMathematicsParabolaActual

The length of the latus rectum of a parabola whose focal chord P S Q is such that P S=3 and Q S=2 is

Options

  1. A24 5
  2. B12 5
  3. C6 5
  4. D12 10

Correct answer

A. 24 5

Step-by-step solution

We know that the length of the semi latus rectum is the harmonic mean of focal radii, so length of the latus rectum =2 ( 2(P S)(Q S) P S+Q S )=2 2 3 2 3+2 = 24 5

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