CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If a,b,c are all positive and in H.P., then the roots of ax2+2bx+c=0 are

A
real
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
imaginary
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
rational
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
equal
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A real
a,b,c are HP
b=2aca+c
ax2+2bx+c=0
Δ=(2b)24ac
=4b24ac
=4[4a2c2(a+c)2ac] is always positive
, roots are real

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Nature and Location of Roots
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon