The (m + 1)^(th) term of (x/y+y/x)^(2m +...

The `(m + 1)^(th)` term of `(x/y+y/x)^(2m + 1 )` is

A

independent of x

B

a constant

C

depends on the ratio `x//y` and m

D

none of these

Verified by Experts

The correct Answer is:

A

DEFINITE INTEGRATION & ITS APPLICATION
RESONANCE|Exercise High Level Problem|37 Videos
EQUATIONS
RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

If (m+1)^(th) term of an A.P.is twice the (n+1)^(th) term,prove that (3m+1)^(th) term is twice the (m+n+1)^(th) term.

If the m^(th) term of an A.P.is (1)/(n) and the n^(th) term is (1)/(m), show that the sum of mn terms is (1)/(2)(mn+1)

If the m^(th) term of an A.P.is (1)/(n) and the n^(th) terms is (1)/(m), show that the sum of mn terms is (1)/(2)(mm+1)

If the m^(th) term of an H.P. is n and the n^(th) term is m, show that its (mm)^(th) term is 1.

The coefficient of the (2m+1)^("th") and (4m+5)^("th") terms in the expansion of (1+x)^(100) are equal, then the value of (m)/(2) is equal to

If l th, m th and n th terms of an HP are x, y and z respectively, then find the value of yz(m-n)+ xz(n-1)+ xy(l-m) .

If x^m y^n = (x+y)^(m+n) then find (dy)/(dx) at x=1, y=2

If (m+1) th term of an A.P is twice the (n+1)th term,prove that (3m+1) th term is twice the (m+n+1) th term.

The value of m , for which the coefficients of the (2m+1) th and (4m+5)th terms in the expansion of (1+x)^(10) are equal is a.3 b. 1 c. 5 d. 8

If (m+1) term of an A.P.is twice the (n+1) th term,prove that (3m+1) th terms is twice the (m+n+1) th term.