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If 1+2+3+……………+n=45, then 1^3+2^3+3^3+……...

If 1+2+3+……………+n=45, then `1^3+2^3+3^3+…………+n^3` is:

A

`45^2`

B

`45^3`

C

`45^4`

D

none of these

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JBD PUBLICATION-MODEL PAPER (11)-EXERCISE
  1. The value of (1+i)^3-(1-i)^3 is:

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  2. Total number of four digit odd numbers that can be formed by using 0,1...

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  3. If 1+2+3+……………+n=45, then 1^3+2^3+3^3+…………+n^3 is:

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  4. If p be the length of the perpendicular from the origin on the line x/...

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  5. If the circles x^2+y^2=9 and x^2+y^2+8y+c=0 touch each other, then c i...

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  6. If f(x)=(x-4)/(2sqrt3), then f'(1) is equal to?

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  7. If A and B are two events, the probability that exactly one of them oc...

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  8. Prove that: cos20^@+cos100^@+cos140^@=0.

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  9. If tan3A=(3 tan A+k tan^(3)A)/(1-3 tan^(2)A), then k is equal to

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  10. Evaluate: [i^20+(1/i)^26]^3.

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  11. Using Binomial theorem prove that:(1.1)^10000> 10000

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  12. Write the general term in the expansion of (x^(2)-yx)^(12), x ne 0

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  13. Let (4, 2), B (6, 5) and C (1, 4) be the vertices of triangleABC. :- ...

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  14. Verify by the method of contradiction that sqrt7 is irrational.

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  15. Find the component statement of the following and check whether they a...

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  16. Assume that P(A) = P(B). Show that A = B

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  17. If AxxB={(a,x),(a,y),(b,x),(b,y)}. Find A and B

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  18. Prove that : sin (A + B) sin (A - B) = sin^2A- sin^2B.

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  19. Using principle of mathematical induction, prove that: 1/1.2.3+1/2.3.4...

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  20. Determine the number of ways of choosing 5 cards out of a deck of 52 c...

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