If 21s t and 22 text nd terms in the expansion of (1+x)44 are equal, then x is equal to

Question

If 21s t and 22 text nd terms in the expansion of (1+x)44 are equal, then x is equal to (A) (8/7) (B) (21/22) (C) (7/8) (D) (23/24)

Tardigrade Admin · Accepted Answer

By data, 44 C20 x20=44 C21 x21 ⇒ x=(44 C20/44 C21) ⇒ x=(7/8)

Q. If $2 1^{s t}$ and $2 2^{nd}$ terms in the expansion of $(1 + x)^{44}$ are equal, then $x$ is equal to