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If for z as real or complex, (1+z^2+z^4)...

If for `z` as real or complex, `(1+z^2+z^4)^8=C_0+C1z^2+C2z^4++C_(16)z^(32)t h e n`

A

(a) `C_0-C_1+C_2-C_3+....+C_(16)=1`

B

(b) `C_0+C_3+C_6+C_9+C_(12)+C_(15)=3^7`

C

(c) `C_2+C_5+C_6+C_(11)+C_(14)=3^6`

D

(d) `C_1+C_4+C_7+C_(10)+C_(13)+C_(16)=3^7`

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ARIHANT MATHS-BIONOMIAL THEOREM-Exercise (Subjective Type Questions)
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  2. If in the expansion of (1+x)^n ,a ,b ,c are three consecutive coeffici...

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  3. (2^1/3+1/3^1/3)^n if the ratio of 7th term from the beginning to the 7...

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  4. if Sn = C0C1 + C1C2 +...+ C(n-1)Cn and S(n+1)/Sn = 15/4 then n is

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  5. C1/C0+2C2/C1+3C3/C2+............+nCn/C(n-1)=(n(n+1))/2

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  6. Find the term in(3sqrt(((a)/(b))) + 3(sqrt((b)/ sqrt(a)))^(21) which h...

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  7. The coefficient of x^r [0lt=rlt=(n-1)] in the expansion of (x+3)^(n-1)...

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  8. Prove that if p is a prime number greater than 2, then the difference...

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  9. Integer just greater then (sqrt(3)+1)^(2n) is necessarily divisible by

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  10. Find the solution of the following inequality 6 < 2x + 4 < 10

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  11. If (1 + x)^(n) = C(0) = C(1) x + C(2) x^(2) + …+ C(n) x^(n) , find...

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  12. Solve the given inequality and show the graph of the solution on numbe...

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  13. Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

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  14. Find the coefficient of x^4 in the expansion of (2-x+3x^2)^6dot

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  15. If for z as real or complex, (1+z^2+z^4)^8=C0+C1z^2+C2z^4++C(16)z^(32)...

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  16. Find the solution of the given inequality for real x x/3 > x/2 + 1

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  17. Find the solution of the given inequality for real x : x/2 + x/3 < 5

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  18. Find the solution of the following inequality for real x : 7x + 3 ge 4...

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  19. Solve the inequality 2 le 2x - 6 le 4

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  20. Solve the inequality 6 le 2x - 4 le 12

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