In the expansion of 3 -a-b-3 -b-a21 the terms cantaining same powers of a and b is

The correct option is B 13th T_r+1 = 21_c, a^42 3r/6 b^2r 21/3 42 3r = 4r 42 ⇒ r = 12 ...

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Standard XII

Mathematics

Combination

In the expans...

Question

In the expansion of ${(3 \sqrt{\frac{a}{b}} + 3 \sqrt{\frac{b}{\sqrt{a}}})}^{21}$ the terms cantaining same powers of a and b is

11^th

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Solution

The correct option is B
13^th

$T_{r + 1} = 21_{c}, a^{\frac{42 - 3 r}{6}} b^{\frac{2 r - 21}{3}}$

42 - 3r = 4r - 42 $\Rightarrow$ r = 12

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In the expansion of (3√ab+3√b√a)21 the terms cantaining same powers of a and b is

The correct option is B 13th Tr+1=21c,a42−3r6b2r−213 42 - 3r = 4r - 42 ⇒ r = 12

In the expansion of ${(3 \sqrt{\frac{a}{b}} + 3 \sqrt{\frac{b}{\sqrt{a}}})}^{21}$ the terms cantaining same powers of a and b is

The correct option is B
13^th

$T_{r + 1} = 21_{c}, a^{\frac{42 - 3 r}{6}} b^{\frac{2 r - 21}{3}}$

42 - 3r = 4r - 42 $\Rightarrow$ r = 12