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If ((1+i)/(1-i))^(2m)=1, then find the l...

If `((1+i)/(1-i))^(2m)=1`, then find the least integral value of m.

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SUBHASH PUBLICATION-ANNUAL EXAMINATION QUESTION PAPER - 2018 (NORTH) (WITH ANSWERS)-Part - C (Answer any Ten questions:)
  1. Solve 2cos^(2)x+3 sin x=0

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  2. Solve sqrt(2) x^(2)+x+sqrt(2)=0

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  3. If ((1+i)/(1-i))^(2m)=1, then find the least integral value of m.

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  4. Find r if .^(5)P(r )= .^(6)P(r-1)

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  5. Find the middle term in the expansion of ((x)/(3)+9y)^(10)

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  6. In an A.P if m^(th) term is n and n^(th) term is m, where mnen, find t...

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  7. Insert five numbers between 8 and 26 such that the resulting sequence ...

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  8. Find the coordinates of the vertices, length of the latus rectum and e...

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  9. Differentiate of sin x w.r.t. x from first principles

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  10. Verify by the method of contradiction that sqrt(2) is irrational .

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  11. A die is thrown once Find the probability that a prime numbers will a...

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  12. A die is thrown. Find the probability that (i) A prime number will a...

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  13. A die is thrown. Find the probability that (i) A prime number will a...

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  14. Out of 100 students,two sections of 40 and 60 are formed.If you and yo...

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  15. Draw the graph of the signum function write its domain and range.

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  16. Prove that (sin 5x - 2 sin 3x + sin x)/(cos 5 x - cos x)= tan x

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  17. 1.2+2.3+3.4+…………..+n(n+1)=n/3(n+1)(n+2) forall n in N.

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  18. Solve graphically 2x+y ge 4, x+y le 3, 2x-3y le 6 x ge 0, y ge 0

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  19. What is the number of ways of choosing 4 cards from a pack of 52 cards...

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  20. What is the probability that 4 cards drawn at random from a well-shuff...

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