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Question

If the vertex of parabola y = x2-8x + c lies on x - axis, then the value of c is


  1. -16

  2. -4

  3. 4

  4. 16


Solution

The correct option is D

16


The given equation can be written as (x4)2=y(c16). Therefore the vertex of the parabola is (4, c – 16).  The point lies on x – axis.

 c16=0c=16

               

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