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If 0^@lethetale90^@ then show that sin t...

If `0^@lethetale90^@` then show that `sin theta+ cos theta>1`.

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Write True or False If 0^@lethetale90^@ then cos theta> cos^2 theta .

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UNITED BOOK HOUSE-SUGGESSTION OR MADHYAMIK PARIKSHA-EXERCISE
  1. Find the value of (2 sin^2 63^@+1+2sin^2 27^@)/(3cos^2 17^@-2+3cos^2 7...

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  2. If tan alpha.tan2alpha = 1 then find the value of cos2alpha.

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  3. If 0^@lethetale90^@ then show that sin theta+ cos theta>1.

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  4. If the mean of 7,(x-3),10,(x+3) and (x-5) is 15, then find the median ...

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  5. If ui = (xi-25)/10, sumfiui = 20 and sumfi = 100 then find the value o...

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  6. At the same rate of simple interest in percent per annum, if a princip...

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  7. If simple interest and compound interest of a certain sum of money for...

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  8. Nivedita and Uma have started a business with capital Rs.3000 and Rs 5...

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  9. As a result of publicity on against smoking the number of smoker is de...

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  10. Solve: x/(x+1)+(x+1)/x = 2 1/12 (x!=0,-1)

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  11. Solve: (12x+17)/(3x+1)-(2x+15)/(x+7) = 3 1/5[x!= -1/3,-7]

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  12. The ratio of the roots of the quadratic equation ax^2+bx+c=0(a!=0) is ...

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  13. A man travelled 84 kms by cycle and observed that if he would be cycli...

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  14. If (a+b) alpha sqrt(ab), then show that (sqrta+sqrtb) alpha (sqrta-sqr...

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  15. If x alpha y+x (k is constant), y alpha(z+x) (l is constant), z alpha(...

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  16. Solve: sqrt(4x-9)+sqrt(4x+9)= 5+sqrt7.

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  17. If x= (sqrt7+sqrt3)/(sqrt7-sqrt3) and xy = 1, find the value of (x^2+3...

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  18. If (a^3+3ab^2)/(3a^2b+b^3) = 63/62 the find (5a-3b):(3a-b).

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  19. If a,b,c,d are in continued proportion then show that bc(1/a+1/b+1/c+1...

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  20. If (a+b)/(b+c) = (c+d)/(d+a) then prove that either c= a or a+b+c+d = ...

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