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If sin 3 theta = cos 6 theta, then tan (...

If `sin 3 theta = cos 6 theta,` then `tan (60^@ - 3 theta) = 2/sqrt3`

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CALCUTTA BOOK HOUSE-SAMPLE QUESTIONS PAPERS-QUESTION
  1. In case of compound interest, interset is to be added to principal at ...

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  2. In DeltaABC, the point at which the bisectors of the angles /ABC and /...

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  3. If sin 3 theta = cos 6 theta, then tan (60^@ - 3 theta) = 2/sqrt3

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  4. If the ratio of the curved surface areas of two hemispheres be 4 : 25,...

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  5. The median of 3, 4, 18, 20, 5 is 5.

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  6. The rate of simple interest reduces from 4% to 3""1/4% and for this, A...

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  7. If the rate of increase in population of is r% per year, the populatio...

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  8. Fomd the value of a when (-1) is a root of the equation x^2 + ax + 3=...

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  9. Determine which one of the two quanitties (sqrt(15) + sqrt3)) and (sqr...

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  10. If x prop ""1/y and y prop""1/z , then determine whether x and z are i...

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  11. If in DeltaABC, AB = ( 2a -1) cm, BC = 2sqrt(2a)cm" and "AC = ( 2a+1) ...

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  12. Find the value of the complementrary angle of the angle 63^@ 25'15 ''.

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  13. Prove that sqrt((1+cos 390^(@))/(1-cos 30^@)) = tan 60^@ + sec 60^@

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  14. If a solid right circular rod of length 1 dcm is made by melting a sol...

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  15. The numberical values of the volume and total surface areas of a solid...

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  16. A hemisphere of internal diameter 36 cm is filled with water . If this...

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  17. What is mode ? State the formula of mode for grouped frequency distrib...

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  18. At the same rat of simple interest in present per annum, if a principl...

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  19. Rate of increase in polpulation of a state is 2% in a year. The presen...

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  20. Solve : 1/(a+b+x)=1/a+1/b+1/x[ x ne 0, -(a+b)]

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