Assertion: The ${r}^{\text {th}}$ term from the end in the expansion of $(x+a)^n$ is ${ }^n C_{n-r+1} x^{r-1} a^{n-r+1}$. Reason: The ${r}^{\text {th}}$ term from the end in the expansion of $(x+a)^n$ is $(n-r+2)^{\text {th}}$ term.

Assertion is correct, reason is correct; reason is not a correct explanation for assertion

Assertion is correct, reason is incorrect

Assertion is incorrect, reason is correct

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JEE MATHEMATICS MCQ: BINOMIAL THEOREM

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Assertion: The

{r}^{\text {th}}

term from the end in the expansion of

(x+a)^n

{ }^n C_{n-r+1} x^{r-1} a^{n-r+1}

.

Reason: The

{r}^{\text {th}}

term from the end in the expansion of

(x+a)^n

(n-r+2)^{\text {th}}

term.

View answer and explanation

Correct option: A

Assertion is correct, reason is correct; reason is a correct explanation for assertion

Option A (Assertion is correct, reason is correct; reason is a correct explanation for assertion) is correct because the rth term from the end is indeed the (n-r+2)th term, and the assertion correctly states the value of that term.

JEE MATHEMATICS MCQ: BINOMIAL THEOREM

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