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STATEMENT - 1 : If n is even, .^(2n)C(1)...

STATEMENT - 1 : If n is even, `.^(2n)C_(1)+.^(2n)C_(3)+.^(2n)C_(5)+"….."+.^(2n)C_(n-1) = 2^(2n-2)`.
STATEMENT - 2 : `.^(2n)C_(1) + .^(2n)C_(3)+ .^(2n)C_(5) + "……"+ .^(2n)C_(2n-1) = 2^(2n-1)`

A

STATEMENT - 1 is true, STATEMENT - 2 is true and STATEMENT - 2 is correct explanation for STATEMENT - 1.

B

STATEMENT - 1 is true, STATEMENT - 2 is true and STATEMENT - 2 is not correct explanation for STATEMENT - 1.

C

STATEMENT-1 is true, STATEMENT-2 is false

D

STATEMENT-1 is false, STATEMENT-2 is true

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The correct Answer is:
D
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RESONANCE ENGLISH-DPP-QUESTION
  1. about to only mathematics

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  2. The value of m , for which the coefficients of the (2m+1) th terms in ...

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  3. STATEMENT - 1 : If n is even, .^(2n)C(1)+.^(2n)C(3)+.^(2n)C(5)+"….."+....

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  4. For some natural number N, the number of positive integral 'x' satis...

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  5. Find the sum of the last 30 coefficients in the expansion of (1+x)^(59...

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  6. Coefficient of x^(48) in sum(r=0)^(50)""^(50)C(r).(x-2)^(x).3^(50-r) i...

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  7. Solve the following equations : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)...

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  8. |x^(2)-4x+4|ge 1

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  9. Solve the following inequation (i) (3)/(x-2) lt 1 , (ii) (2x-1)/(x^(...

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  10. If sum(i=1)^(7) i^(2)x(i) = 1 and sum(i=1)^(7)(i+1)^(2) x(i) = 12 and ...

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  11. Circles with centres P,Q& S are touching each other externally as show...

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  12. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

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  13. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

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  14. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

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  15. The sum sum(r=0)^(n) (r+1) (""^(n)C(r))^(2) is equal to

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  16. In the binomial expansion of (a-b)^nngeq5, the sum of the 5th and 6th ...

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  17. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

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  18. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

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  19. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

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  20. underset(r=0)overset(n)(sum)(-1)^(r).^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(...

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