wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The graph of quadratic polynomial f(x)=ax2+bx+c is shown below


Which of the following statement(s) is/are correct?

A
ca(αβ)>2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
ac>0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
ca<1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
f(x)>0; x>β
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C ca<1

α<1, β>1
Graph is downward, so
a<0
f(0)=c, so from the graph,
c>0
So,
ac<0

Now,
α>1, β>1
αβ>1
αβ<1
ca<1

Now,
ca(αβ)=(αβ)(βα)
We know that,
(βα)>2 (α>1, β>1)
αβ<1αβ>1
ca(αβ)>2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Roots under Different Values of Coefficients
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon