(C) The general term in the expansion of $(y^2 + \frac{c}{y})^5$ is given by $T_{r+1} = ^5C_r (y^2)^{5-r} (\frac{c}{y})^r$.$T_{r+1} = ^5C_r y^{10-2r}

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(C) The general term in the expansion of $(y^2 + \frac{c}{y})^5$ is given by $T_{r+1} = ^5C_r (y^2)^{5-r} (\frac{c}{y})^r$.$T_{r+1} = ^5C_r y^{10-2r} c^r y^{-r} = ^5C_r c^r y^{10-3r}$.To find the coefficient of $y$,we set the exponent of $y$ equal to $1$:$10 - 3r = 1$$3r = 9$$r = 3$.Substituting $r = 3$ into the coefficient expression $^5C_r c^r$:Coefficient $= ^5C_3 c^3 = \frac{5 \times 4}{2 \times 1} c^3 = 10c^3$.

Class 11 Mathematics Binomial Theorem General term, Coefficient of any power of x, Independent term, Middle term and Greatest term and Greatest coefficient

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If the expansion of $(y^2 + \frac{c}{y})^5$,the coefficient of $y$ is:

A
$20c$
B
$10c$
C
$10c^3$
D
$20c^2$

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General term, Coefficient of any power of x, Independent term, Middle term and Greatest term and Greatest coefficient

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If the expansion of $(y^2 + \frac{c}{y})^5$,the coefficient of $y$ is:

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