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Find the largest coefficient in the expa...

Find the largest coefficient in the expansion of `(1+x)^(n)`, given that the sum of coefficients of the terms in its expansion is 4096.

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The correct Answer is:
`((12)!)/((6!)^(2))`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
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  2. Using binomial theorem for a positive integral index, prove that (2^(3...

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  3. Find the largest coefficient in the expansion of (1+x)^(n), given that...

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  8. If the coefficients of the (r-1) th and (2r+3) th terms in the equatio...

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  9. If n is a positive integer then using the indentiy (1+x)^(n)=(1+x)^(3)...

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  11. If u(r)=(1)/(r!) then show that u(0)u(n)+8u(1)+u(n-1)+8^(2)u(2)u(n-2...

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  13. If x= cos theta+i sin theta and 1+ sqrt(1-a^(2))=na, show that, (a)/(...

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  15. Let z and omega tow complex number. If |z|= |omega| and areg (z) +arg...

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  19. Find the greatest value of |z| when |z-(6)/(z)|=2,z being a complex nu...

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