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The focus of the parabola
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By Expert Faculty of Sri Chaitanya
a
(−7/2,5/2)
b
(– 3/4, 5/2)
c
(– 17/4, 5/2)
d
(5/2, – 3/4)
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Correct option is C
The given equation of the parabola can be written as y2−5y=−3x−67/4⇒(y−5/2)2=−3(x+7/2)⇒Y2=4aX where Y=y−5/2,X=x+7/2and a=−3/4The focus of Y2=4aX is (X,Y)=(a,0)=(−3/4,0)⇒x+7/2=−3/4,y−5/2=0⇒x=−17/4,y=5/2Therefore, required focus is (– 17/4, 5/2)
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