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# The focus of the parabola $y^2-x-2y+2=0$ is

$\begin{array}{1 1}(A)\;(\frac{1}{4},0) \\(B)\; (1,2) \\(C)\;(\frac{3}{4},1) \\(D)\;(\frac{5}{4},1) \end{array}$

$y^2-2y=x-2$
$(y-1)^2=1.(x-1)$
$4a=1$ focus is $X=A$
$Y=O$
or $x-1= \large\frac{1}{4}$
$y-1=0$
=>$(\large\frac{5}{4},1)$
Hence D is the correct answer.

+1 vote