Question

Trace the parabola: 4x2 - 4xy + y2 - 8x - 6y + 5 = 0

Answer 1

Answer:2x -y -3 =0

Step-by-step explanation:Given equation of the parabola: 4x  

2

−4xy+y  

2

−12x+6y+9=0

Which when simplified gives.

(−2x)  

2

+y  

2

+3  

2

+2.(−2x).y+2.y.3+2.3.(−2x)=(−2x+y+3)  

2

=0

⇒2x−y−3=0 which is an equation of a line.  

Thus this parabola is traced by 2 coincident lines given by 2x−y−3=0.