Conic Sections Question 32
Question: The focus of the parabola $ y^{2}-x-2y+2=0 $ is
[UPSEAT 2000]
Options:
A) $ (1/4,\ 0) $
B) (1, 2)
C) (3/4, 1)
D) (5/4,1)
Show Answer
Answer:
Correct Answer: D
Solution:
Equation of parabola $ y^{2}-2y-x+2=0 $
therefore $ {{(y-1)}^{2}}=(x-1) $
Let $ y-1=Y $ and $ x-1=X $
$ Y^{2}=X,a=1/4 $ , focus $ =(1/4,0) $
Required focus = $ ( \frac{1}{4}+1,0+1 )=(5/4,1) $ .
BETA
