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AP EAMCET2015MathematicsParabola

The point (3,4) is the focus and 2 x-3 y+5=0 is the directrix of a parabola. Its latusrectum is

Options

  1. A2 13
  2. B4 13
  3. C1 13
  4. D3 13

Correct answer

A. 2 13

Step-by-step solution

Given that focus of parabola is (3,4) and equation of directrix is 2 x-3 y+5=0 As we know, Length of the latusrectum =2 Length of perpendicular from focus on directrix = | 2 3-3 4+5 2^2+(-3)^2 |= 2 13

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