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For the parabola y 2 = 8 x , the other exremity of the focal chord which is drawn at the point 1 2 , 2 is:

Options

  1. A( 2 , - 4 )
  2. B( 2 ,   4 )
  3. C( 8 , - 8 )
  4. D( 8 ,   8 )

Correct answer

C. ( 8 , - 8 )

Step-by-step solution

a = 2 ⇒ t 1 = ± 1 2 2   at 1 = 2 by ( 1 )   &   ( 2 )    t 1 = 1 / 2 for focal chord t 1 t 2 = - 1 ⇒ t 2 = - 2 . other point at 2 2 , 2 at 2 = ( 8 , - 8 )

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