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Solve :sin 3theta = cos 3theta (0 < thet...

Solve :`sin 3theta` = `cos 3theta (0 < theta < pi)`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 13-EXERCISE
  1. Write P = {2, 4, 8, 16, 32, 64} in set builder form.

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  2. Find the viaue of tan 28^@ + tan 17^@ + tan 28^@tan 17^@

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  3. Solve :sin 3theta = cos 3theta (0 < theta < pi)

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  4. Find the amplitude of i/(1-i).

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  5. In how many different ways 4 boys and 3 girls can be sitted in one row...

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  6. Find the middle term of the expansion of (a^2/3+3/a^2)^8

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  7. The sum of the 1st m terms of an AP is n and the sum of the 1st n term...

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  8. The co-ordinate of the vertices of a triangle are (2, -2), (4, 2) and ...

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  9. Find the co-ordinate of that point which divides the line segment join...

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  10. show that lim(nrarr0)(root(3)(n+1)-1)/n=1/3

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  11. If y = x/(x+a),show that x dy/dx = y (1- y)

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  12. A box contains 50 articles of which 4 are defective. One article is ta...

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  13. Find the mean deviation of 36, 72, 46,60, 42, 45, 53. 46, 51, 49.

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  14. For any three sets A, B, C, Prove that A cap(BcupC)=(AcapB)cup (A cap ...

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  15. If tan (theta/2)=tan^3 (phi/2)and tanphi=2tanalpha,then prove that the...

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  16. In a triangle ABC if a cos^2(C/2)+c cos^2(A/2)=((3b)/2)show that sides...

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  17. Prove that by mathematical induction : 3^(2n+ 2) - 8n - 9 is divisible...

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  18. If x=a+b,y=aw+bw^2,z=aw^2+bw,show that xyz=a^3+b^3

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  19. if the ratio of the sum of n terms of two A Ps is (3n + 5) : (5n - 9)...

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  20. The coefficient of three consecutive terms in the expansion of (1+x)^n...

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