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

If cotA=ac,cotB=ca,cotC=a3c,c=a2+a+1, then


A

A+B=C

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

B+C=A

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

C+A=B

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

A+B=C


Given that, cotA=ac,cotB=ca,cotC=a3c,c=a2+a+1

As we know,

cot(A+B)=cotAcotB1cotA+cotB

Put the given values of cotA,cotB,cotC in above formula, we get

cotA+B=acca1ac+ca=(c1)(ac+c)a=(c1)a(a+1)c=(a2+a)a(a+1)c=(a+1)aa(a+1)c=aac=a3c=cotC

A+B=C

Hence, Option ‘A’ is Correct.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Transformations
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon