You visited us 1 times! Enjoying our articles? Unlock Full Access!

Binomial Theorem

If the coeffi...

Question

If the coefficent of $x^{2}$ in the expansion of $(1 + x)^{m}$ is $6$ then $m = . . . . . . . . . .$

4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

- 4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

n o n e

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $4$
the coefficient of $x^{r}$ in $(1 + x)^{n}$ is $^{n} C_{r}$
$⟹$ the coefficient of $x^{2}$ in $(1 + x)^{m}$ is $^{m} C_{2} = 6 ⟹ \frac{m (m - 1)}{2} = 6 ⟹ m^{2} - m - 12 = 0$
$⟹ m = 4, - 3$
$∵ m$ is a positive number ,so $m = 4$

Suggest Corrections

Similar questions

x^{2}

(1 + x)^{m}

6

m =

x^{2}

{(1 + x)}^{m}

6

{(1 + x)}^{m} {(1 - x)}^{n}

x

x^{2}

3

- 6

m

If the third term in the binomial expansion of $(1 + x)^{m} i s - x^{2}$ , then the rational value of m is

(1 + x)^{m} \cdot (1 - x)^{n}

x

x^{2}

3

- 6

Join BYJU'S Learning Program