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AP EAMCET201921 Apr 2019Morning ShiftMathematicsParabolaActual

If the focus of a parabola divides a focal chord of the parabola into segments of lengths 5,3 units, then the length of the latusrectum of that parabola is

Options

  1. A15 4
  2. B20
  3. C25 2
  4. D15 2

Correct answer

D. 15 2

Step-by-step solution

Since, semi latusrectum is the harmonic mean of segments. So, semi laturectum length = 2 5 3 5+3 = 30 8 = 15 4 Length of latusrectum =2 15 4 = 15 2

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