Home
Class 11
MATHS
If the 6th term in the expansion of the ...

If the 6th term in the expansion of the binomial
`[sqrt(2^(log(10-3^(x)))) +root(5)(2^((x-2)log3))]^(m)`
is equal to 21 and it is known that the bonomial coefficients of the 2nd, 3rd and 4th terms in the expansion represent respectively the first, third and fifth terms of an A.P. (the symbol log stands for logarithm to the base 10), then x =

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Similar Questions

Explore conceptually related problems

The sixth term in the expansion of ( sqrt(2^(log(10-3^x))) + (2^((x-2)log3))^(1/5))^m is equal to 21, if it is known that the binomial coefficient of the 2nd 3rd and 4th terms in the expansion represent, respectively, the first, third and fifth terms of an A.P. (the symbol log stands for logarithm to the base 10) The value of m is

If the coefficients of 2nd,3rd and 4th terms in the expansion of (1+x)^(n) are in A.P.then find the value of n.

If the coefficients of 2nd,3rd and 4th terms in the expansion of (1+x)^(n) are in A.P.then find the value of n.

The 6^("th") term of expansion [sqrt(2^(log_(10)(10-3^(x))))+root(5)(2^((x-2)log_(10)3))]^(m) is 21 and the coefficient of 2^(nd), 3^(rd) and 4^(th) terms of it are respectively 1^(st), 3^(rd) and 5^(th) term of an A.P. Find x.

If the 2 nd,3 rd and 4 th terms in the expansion of (x+a)^(n) are 240,720 and 1080 respectively,find x,a,n .

If coefficients of r th and (r + 1)th term in the expansion of (3 + 2x)^(74) are equal, then r is equal to:

If the coefficients of 2nd,3rd and 4th terms in the expansion of (1+x)^(n),nN are in A.P. then n=7b.14c.2d .none of these

If the coefficients of (2r +1)th and (4r + 5) th terms is the expansion of (1+x)^(10) are equal then r=?