Maths-
General
Easy

Question

The parametric representation of a parabola is x = 3 + t2, y = 2t – 1. Its focus is - 

  1. (3, – 1)    
  2. (3, 0)    
  3. (4, 0)    
  4. (4, –1)    

The correct answer is: (4, –1)


    x = 3 + t2 rightwards double arrow y = 2t – 1
    t2 = x – 3 rightwards double arrow(y + 1) / 2 = t rightwards double arrow (y + 1)2 = 4(x – 3)
    Y2 = 4X focus X = 1, Y = 0
    x – 3 = 1, y + 1 = 0 rightwards double arrowx = 4, y = – 1 rightwards double arrow (4, –1)

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