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Evaluate the following: (lim)(xvecpi/2)(...

Evaluate the following: `(lim)_(xvecpi/2)(sin x)/x`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If mean of squares of deviations of a set of n observations about -2a ...

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

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

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

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  5. Let f, g and h be the lengths of the perpendiculars from the circumcen...

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

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  7. If the standard deviation of a variable xi ssigma , then standard devi...

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  8. If z1a n dz2 are two nonzero complex numbers such that =|z1+z2|=|z1|+|...

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

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

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

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

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  13. If the system of equations x+a y=0,a z+y=0,a n da x+z=0 has infinite s...

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

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

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  16. If z=1+it h e nz^(10) reduces to: A purely imaginary number An imagina...

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  17. Evaluate the following: lim(xrarrpi/2)(2sin x+3)/(3cos x+3)

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  18. Let y be an implicit function of x defined by x^(2x)-2x^(x) cot y-1=0...

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  19. In a triange, the line joining the circumcentre to the incentre is par...

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  20. Find the limits (i) (lim)(x""->1)[(x^2+1)/(x+100)] (ii) (lim)(x""->2...

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