1)

The cartesian  coordinates of the point on the parabola y2=-16x, whose parameter is 12 , are 


A) (-2,4)

B) (4,-1)

C) (-1,-4)

D) (-1,4)

Answer:

Option C

Explanation:

We know that parametric form y2=4ax is

 x= at2   and y=2at

 Here, y2  =-16x

      x= -4t2   and y= -8t

 Given,  t= 12

     x=4(12)2 and  y=8(12)

  x=-1 and y=-4

 Hence, cartesian coordinates are (-1,-4).