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The value of cos^(-1)(cos 12)-sin^(-1)(s...

The value of `cos^(-1)(cos 12)-sin^(-1)(sin14)` is `-2` b. `8pi-26` c. `4pi+2` none of these``

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. tan(tan^(-1)5+cot^(-1)1/3) 4/7 b. -4/7 c. 3/7 d. not defined

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  2. Evaluate the following limit: (lim)(x->0)(1-cos m x)/(1-cos n x)

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  3. The value of cos^(-1)(cos 12)-sin^(-1)(sin14) is -2 b. 8pi-26 c. 4pi+2...

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  4. If in a triangle A B C ,acos^2(C/2)+ c cos^2(A/2)=(3b)/2, then the si...

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  5. Evaluate the following: lim(xrarr0)(sin^2 3x sin5x)/(tan^2 5x tan (x/2...

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  6. Range of the function f(x)=tan^(-1)sqrt([x]+[-x])+sqrt(2-|x|)+1/(x^...

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  7. 4 people are selected randomly out of six married couple. Find the ...

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  8. Evaluate the following: lim(xrarr0)(sqrt(a+x)-sqrt(a-x))/x

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  9. If cos^(-1)((n)/(2pi))lt(2pi)/(3) then maximum and minimum values of i...

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  10. If omega be a complex cube root of unity, then the number (1-omega-om...

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  11. The mean deviation about median of variates 13, 14, 15,...., 99, 100 i...

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  12. Evaluate the following: (lim)(x -> -2)(3x^2+2x-8)/(x^3+8)

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  13. If z and bar z represent adjacent vertices of a regular polygon of n s...

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  14. The algebraic sum of deviations of 10 observations measured from 15 is...

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  15. If the letters of the word ''REGULATIONS'' be arranged at random, fin...

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  16. Let |z1|=|"z"2|="p"/2 then "|z1+z2|^2+|z1-z2|^2= a.p^2 b. (p^2)...

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  17. Evaluate the following: lim(xrarr2)(x^2-4)/(sqrt(3x-2)-sqrt(6-x))

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  18. Let f:[-(pi)/(3), (2pi)/(3)] to [0,4] be a function defined as f(x)=sq...

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  19. If 3^(49)(x+i y)=(3/2+(sqrt(3))/2i)^(100) and x=k y then k is: a.-...

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  20. Evaluate: ("lim")(xvec0)(s nx^0)/x

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