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Binomial Theorem · 2005 · Shift 0

3 Mathematics questions from this JEE Main paper

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JEE Main
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2005 · Shift 0
Mathematics
Binomial Theorem

Binomial Theorem · 2005 · Shift 0

3 Mathematics questions from this JEE Main paper

Q99.If the coefficient of $x^{7}$ in $[a x^{2} + (\frac{1}{b x})]^{11}$ equals the coefficient of $x^{- 7}$ in $[a x - (\frac{1}{b x ^{2}})]^{11}$ , then $a$ and $b$ satisfy…
Mathematics · Binomial Theorem · MCQ
Q100.If $x$ is so small that $x^{3}$ and higher powers of $x$ may be neglected, then $\frac{( 1 + x ) ^{\frac{3}{2}} - ( 1 + \frac{1}{2} x ) ^{3}}{( 1 - x ) ^{\frac{1}{2}}}$ may be approximated…
Mathematics · Binomial Theorem · MCQ
Q101.If the coefficients of rth, (r+1)th, and (r + 2)th terms in the binomial expansion of $(1 + y)^{m}$ are in A.P., then m and r satisfy the equation
Mathematics · Binomial Theorem · MCQ