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Given positive integers r >1,n >2 and th...

Given positive integers `r >1,n >2` and that the coefficient of `(3r d)t ha n d(r+2)t h` terms in the binomial expansion of `(1+x)^(2n)` are equal. Then `n=2r` b. `n=2r+1` c. `n=3r` d. none of these

A

`n=2r`

B

`n=3r`

C

`n=2r+1`

D

None of these

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ML KHANNA-BINOMIAL THEOREM AND MATHEMATICAL INDUCTION -Self Assessment Test
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  3. If the coefficient of x^(7) in (ax^(2)+(1)/(bx))^(11) is equal to the ...

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  4. The sum of the coefficeints of the polynominal (1 + x - 3x^(2))^(2163)...

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  5. Sum of coefficients in the expansion of (x+2y+z)^(10) is

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  6. The number of terms in the expansion of (x + y + x)^(10), is

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  7. The number of terms in the expansion of ( x +a)^(100) + ( x -a)^(100) ...

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  8. The coefficient of middle term in the expansion of (1+x)^(10) is

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  9. Coefficient of 1/x in the expansion of (1 + x)^(n) (1 + 1//x)^(n) is

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  10. The coefficient of x^(4) in ((x)/(2)-(3)/(x^(2)))^(10) is :

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  11. The coefficient of y in the expansion of (y^(2) + c//y)^(5) is

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  12. If pa n dq are ositive, then prove that the coefficients of x^pa n dx^...

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  13. Given positive integers r >1,n >2 and that the coefficient of (3r d)t ...

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  14. The term independent of x in (x^(2)-(1)/(x))^(9) is

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  15. The term independent of x in the expansion of (2x+(1)/(3x))^(6) is

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  16. The term independent of x in [sqrt(((x)/(3)))+sqrt(((3)/(2x^(2))))]^(...

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  17. If the coefficients of x^(7) and x^(6) in (2+(x)/(3))^(n) are equal, t...

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  18. In the expansion of ( 1+ x)^(50), the sum of the coefficient of odd po...

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  19. For r = 0,1,...10, let A(r ),B(r ) and C(r ) denote respectively the...

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  20. The term independent of 'x' in the expansion of ((x+1)/(x^(2//3)-x^(1/...

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