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

If the roots of the quadratic equation x2+px+q=0 are tan30 and tan15 respectively . then the value of 2+qp is : ?

A
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is B 3
Since,tan30 and tan15 are the roots of equation

x2+px+q=0
x2+px+q=0
tan30+tan15=p
and tan30tan15=q

Now,2+qp=2+tan30tan15+tan30+tan15

We know that tan45=tan30+tan151tan15tan30

2+qp=2+tan30tan15+1tan30tan15

2+qp=3

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