Conic Sections Question 9
Question: If the vertex of the parabola $ y=x^{2}-8x+c $ lies on x-axis, then the value of c is
Options:
A) -16
B) -4
C) 4
D) 16
Show Answer
Answer:
Correct Answer: D
Solution:
The given equation can be written as $ {{(x-4)}^{2}}=y-(c-16). $ Therefore the vertex of the parabola is $ (4,c-16) $ . The point lies on $ x- $ axis.
$ \therefore c-16=0\Rightarrow c=16 $ .
BETA
