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7.Binomial Theorem
medium
${({y^{ - 1/6}} - {y^{1/3}})^9}$ ના વિસ્તરણમાં અચળપદ મેળવો.
A
$84$
B
$8.4$
C
$0.84$
D
$-84$
Solution
(d) $(9 – r)\left( { – \frac{1}{6}} \right) + r\left( {\frac{1}{3}} \right) = 0$
$\Rightarrow r = 3$
So the term independent of y = $^9{C_3}{({y^{ – 1/6}})^6}{( – {y^{1/3}})^3} = – 84$.
Standard 11
Mathematics
