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simplify: 5i^5+4i^4+3i^3+2i^2+i...

simplify: `5i^5+4i^4+3i^3+2i^2+i`

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JBD PUBLICATION-MODEL PAPER (5)-EXERICSE
  1. If cos (theta + 2alpha) = m cos theta, prove that : cot alpha = (1+m)/...

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  2. If tan(x+y)=20/21, tan (x-y0=3/4, then show thattan 2x=143/24.

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  3. simplify: 5i^5+4i^4+3i^3+2i^2+i

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  4. Exapand: (2/x-x/2)^(5), x ne 0

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  5. Find 3rd term in the expansion of (3x-y^3/6)^4.

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  6. Show that A(a,b,c),B(b,c,a) and C(c,a,b) are the vertices of an equila...

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  7. Write down the truth value of the following statement: All integers ar...

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  8. Write down the truth value of the following statement: Violet are blue...

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  9. Which of the following statements are true and which are false? In eac...

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  10. In a group of students, 100 students know Hindi, 50 know English and 2...

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  11. If A={3,5},B={2,4,6}. Find n(AxxB)

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  12. If A={3,5},B={2,4,6}. Find n(BxxA)

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  13. Prove that: sin 3x + sin 2x -sin x = 4sin x cosfrac(x)(2)cosfrac(3x)(2...

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  14. Using principle of mathematical induction, prove that: 1+3+5+………..+(2n...

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  15. A bag contains 5 black and 6 red balls. Determine the number of ways i...

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  16. Find the value of r if 5. ^4Pr= 6. "^5P(r-1).

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  17. If the sum of n terms of an A.P is nP+1/2 n(n-1)Q, where P and Q are c...

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  18. If the pth, qth and rth terms of an A.P. be x,y,z repsectively, then s...

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  19. Find a point on the x-axis which is equidistant from the points (7, 6)...

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  20. Find the equation of ellipse that satisfy the given conditions: Length...

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