A) \[\left( \frac{1}{4},0 \right)\]
B) \[(1,2)\]
C) \[\left( \frac{5}{4},1 \right)\]
D) \[\left( \frac{3}{4},1 \right)\]
E) \[\left( \frac{3}{4},2 \right)\]
Correct Answer: C
Solution :
The equation of parabola can be rewritten as \[{{y}^{2}}-2y+1=x-1\] \[\Rightarrow \] \[{{(y-1)}^{2}}=(x-1)\] Let \[Y=y-1\]and\[X=x-1\] \[\therefore \]Equation of parabola becomes\[{{Y}^{2}}=X\] Here, \[a=\frac{1}{4}\] \[\therefore \] Focus for the parabola\[{{Y}^{2}}=X\]is\[\left( \frac{1}{4},0 \right)\]. \[\therefore \] Focus for parabola\[{{(y-1)}^{2}}=(x-1)\]is\[\left( \frac{5}{4},1 \right)\]
You need to login to perform this action.
You will be redirected in
3 sec
