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If t a n y=(2^x)/(1+2^(2x+1)),t h e n(d...

If `t a n y=(2^x)/(1+2^(2x+1)),t h e n(dy)/(dx)a tx=0i s` `-3/(10)` (b) `-3/(10)ln2` `-1/(10)` (d) `-1/(10)ln2`

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RESONANCE DPP-JEE MAINS-All Questions
  1. Number of composite numbers less than 20 which are coprime with 4 s...

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  2. Number of integrs less than 15 satisfying the equation 2^(|x+1|)-2^x=...

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  3. If t a n y=(2^x)/(1+2^(2x+1)),t h e n(dy)/(dx)a tx=0i s -3/(10) ...

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  4. The least value of x satisfying the equation 2^(|x+1|)-2^x=|2^x-1|+1...

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  5. If f(x)=4x^3-x^2-2x+1 and g(x)=min{f(t): 0lt=tlt=x} : 0lt=xlt=1 and g(...

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  6. Let aa n db be the number of solutions and sum of solutions of (2x)/(x...

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  7. If xcosy+ycosx=pi then the value of y^(0) is equal to pi (b) -pi (c)...

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  8. The simultaneous equations, y=x+2|x|& y=4+x-|x| have the solution...

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  9. If f^(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 an...

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  10. The minimum value of the expression |x-p+|x-15|+|x-p-15| for ' x ' in ...

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  11. if sqrt(x^2+y^2)=e^t where t=sin^-1 (y/sqrt(x^2+y^2)) then (dy)/(dx) i...

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  12. Solution set of inequality ((e^x-1)(2x-3)(x^2+x+2))/((sinx-2)(x+1)^2x)...

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  13. If the sum of first 16 terms of the series s=cot^(-1)(2^2+1/2)+cot^(-1...

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  14. If two chords of circle x^2+y^2-a x-b y=0 , drawn from the point (a, b...

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  15. Let y=tan^(-1)((2cos(3x^2-2)+5sin(3x^2-2))/(5cos(3x^2-2)-2sin(3x^2-2))...

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  16. Let cos(alpha+beta)=4/5a n dl e tsin(alpha-beta)=5/(13), where 0lt=alp...

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  17. If y is a function of x and ln(x+y)-2x y=0, then the value of y^(prime...

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  18. If (log)(10)(1025)/(1024)=alphaa n d(log)(10)2=beta , then the value o...

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  19. The vector hat i+x hat j+3 hat k is rotated through an angle theta an...

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  20. Leg P(x)=|7 6x-10 2x-10 5x-10 3 4|,s u mofz e roe sofP(x)i s 30 (b) 2...

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