Question

The focus of the parabola $x^2-2x=2y$ is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

The parabola is $x^2-2x=2y$

$Or{x}^2-2x+1=2y+1\Rightarrow (x-1{)}^2=2(y+\frac{1}{2})Here4a=2\Rightarrow a=\frac{1}{2}Nowfocusis(x-1=0,y+\frac{1}{2}=\frac{1}{2})i.e.,(1,0)$