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BITSAT2009MathematicsFunctionsActual

Find the vertex of the parabola (x^2-8 y-x+19=0 ).

Options

  1. A( ( 1 2 , 75 32 ) )
  2. B( ( 1 5 , 65 32 ) )
  3. C( ( 1 3 , 65 22 ) )
  4. D( ( 1 3 , 35 12 ) )

Correct answer

A. ( ( 1 2 , 75 32 ) )

Step-by-step solution

The given equation of Parabola can be written as ( aligned & (x- 1 2 )^2-8 y+19- 1 4 =0 & (x- 1 2 )^2=8 y- 76-1 4 & (x- 1 2 )^2=8 (y- 75 32 ) vertex = ( 1 2 , 75 32 ) aligned )

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