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JEE Main202131 Aug 2021Morning ShiftMathematicsParabolaActual

The length of the latus rectum of a parabola, whose vertex and focus are on the positive x -axis at a distance R and S ( > R ) respectively from the origin, is :

Options

  1. A2 (   S - R )
  2. B2 ( S + R )
  3. C4 ( S - R )
  4. D4 ( S + R )

Correct answer

C. 4 ( S - R )

Step-by-step solution

A parabola, whose vertex and focus are on the positive x - axis at a distance R and S ( > R ) respectively from the origin. y 2 = 4 a ( x - R ) y 2 = 4 ( S - R ) ( x - R ) Length of Latus rectum = 4 ( S - R )

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