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If cos (theta + 2alpha) = m cos theta, p...

If `cos (theta + 2alpha) = m cos theta`, prove that : `cot alpha = (1+m)/(1-m)tan(theta + alpha)`.

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JBD PUBLICATION-MODEL PAPER (5)-EXERICSE
  1. underset(xrarr0)lim (sin2x)/x is equal to:

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  2. Two dice are thrown simultaneously. The probability of obtainng a tota...

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  3. If cos (theta + 2alpha) = m cos theta, prove that : cot alpha = (1+m)/...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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