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Let f:[-pi/3,(2pi)/3]vec[0,4] be a funct...

Let `f:[-pi/3,(2pi)/3]vec[0,4]` be a function defined as `f(x)=sqrt(3)sinx-cosx+2.` Then `f^(-1)(x)` is given by `sin^(-1)((x-2)/2)-pi/6` `sin^(-1)((x-2)/2)+pi/6` `(2pi)/3+cos^(-1)((x-2)/2)` (d) none of these

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Let f:[-(pi)/(3),(2 pi)/(3)]rarr[0,4] be a function defined as f(x)=sqrt(3)sin x-cos x+2. Then f^(-1)(x) is given by sin^(-1)((x-2)/(2))-(pi)/(6)sin^(-1)((x-2)/(2))+(pi)/(6)(2 pi)/(3)+cos^(-1)((x-2)/(2))(d) none of these

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RESONANCE DPP-JEE MAINS-All Questions
  1. Let |z1|=|"z"2|="p"/2 then "|z1+z2|^2+|z1-z2|^2= a.p^2 b. (p^2)...

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

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  3. Let f:[-pi/3,(2pi)/3]vec[0,4] be a function defined as f(x)=sqrt(3)sin...

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

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  5. Evaluate: ("lim")(xrarr0)(sinx^0)/x

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  6. If mean of squares of deviations of a set of n observations about -2a ...

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  7. If complex number (3+2i sin x)/(1-2i sin x) is purely imaginary then ...

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  8. Evaluate the following: (lim)(xvecpi/2)(sin x)/x

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  9. If ( x )1a n d( x )2 are the means of two distributions such that ( ...

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  10. Let f, g, h be the lengths of the perpendiculars from the circumcenter...

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  11. The probability of a shooter hitting a target is 3/4 . How many minimu...

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  12. The standard deviation of variate xi is σ. Then standard deviation of ...

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  13. If z1&z2 are two non-zero complex numbers such that |z1+z2|=|z1|+...

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  14. If the standard deviation of 0,1,2,3...9 is K, then the standard devia...

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  15. Find the value of the constant k so that the given function is c...

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  16. If z is a complex number such that |z|=4 and a r g(z)=(5pi)/6 , then z...

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  17. Differentiate the following functions with respect to x a/(x^2)+b/(x^...

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  18. If the system of equation x+a y=0,a z+y=0a n da x+z=0 has infinite sol...

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  19. The number of terms of an A.P. is even; the sum of the odd terms is ...

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  20. Evaluate the following: (lim)(x->0^+)xsin1//x

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