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BITSAT2011MathematicsParabolaActual

The length of the latus-rectum of the parabola whose focus is ( ( u^2 2 g 2 ,- u^2 2 g 2 ) ) and directrix is (y= u^2 2 g ), is

Options

  1. A( u^2 g ^2 )
  2. B( u^2 g 2 )
  3. C( 2 u^2 g ^2 2 )
  4. D( 2 u^2 g ^2 )

Correct answer

D. ( 2 u^2 g ^2 )

Step-by-step solution

According to the figure, the length of latus rectum is (2(S M)=2 u^2 2 g (1+ 2 )= 2 u^2 ^2 g . )

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