Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The co-efficient of  y in the expansion of  <img alt="\left(y^2+c / y\right)^5" src="ht

The co-efficient of  y in the expansion of  \left(y^2+c / y\right)^5 is

Option: 1

10 c^3


Option: 2

20 c^2


Option: 3

10 c


Option: 4

20 c


Answers (1)

best_answer

(r+1)^{\text {th }} terms = { }^5 C_r y^{10-2 r} \cdot c^r \cdot y^{-r} 

power of y = 1 

⇒ 10 − 3 r = 1 ⇒ r = 3 

Required coefficient = { }^5 C_2 \cdot c^3=10 c^3

 

Posted by

shivangi.bhatnagar

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025: NIT Warangal sees increasing demand for emerging fields; BTech cut-offs
anam-khan

BTech Admissions 2025 LIVE: SITEEE, JEE Mains, AEEE exam dates out; MET, SRMJEE registrations underway
anam-khan

JEE Main 2025: NIT Patna cut-offs for engineering programmes; know closing ranks for BTech admission

Latest Question