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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
The coefficient of the middle term in the binomial expansion of $(1 + ax)^4$ and of $(1 - ax)^6$ is the same, if $a$ is equal to...
Solution
Middle term of $(1 + ax)^4$ ⇒ $\text{Coefficient} = \binom{4}{2} a^2 = 6a^2.$ Middle term of $(1 - ax)^6$ ⇒ $\text{Coefficient} = \binom{6}{3} (-a)^3 = -20a^3.$ Given equal ⇒ $6a^2 = 20a^3 \Rightarrow a = \dfrac{3}{10}.$ Since signs are opposite ⇒ $a = -\dfrac{3}{10}.$Online Test Series, Information About Examination,
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