Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

If in the expansion of (a−2b)n,the sum of 4th and 5th term is zero, then the value of ab is

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

a

n−45

b

n−32

c

5n−4

d

52(n−4)

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Here,T4=nC3(a)n−3(−2b)3and T5=nC4(a)n−4(−2b)4Given T4+T5=0⇒ nC3(a)n−3(−2b)3+nC4(a)n−4(−2b)4=0⇒ (a)n−4(−2b)3anC3+nC4(−2b)=0⇒ ab=2nC4 nC3=2⋅n(n−1)(n−2)(n−3)4⋅3⋅2⋅1×3⋅2⋅1n(n−1)(n−2)=n−32
Watch 3-min video & get full concept clarity

courses

No courses found

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon