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If f(x)=x+tanx and g(x) is the invers...

If `f(x)=x+tanx and g(x) is the `inverse` of `f(x)`, then `differentiation of g(x)` is (a)`1/(1+[g(x)-x]^2)` `(b) 1/(2-[g(x)+x]^2)` `(c)1/(2+[g(x)-x]^2)` `(d) none of these`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let A=[{:(-3,-7,-5),(2,4,3),(1,2,2):}] and B=[{:(a),(b),(1):}] If AB ...

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  2. If f(x)={[1/(x^2)-1/(x^2),xlt0],[sin^(-1)(x+b),x gt-0]} then at x=0,f(...

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  3. If f(x)=x+tanx and g(x) is the inverse of f(x), then differentiat...

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  4. If 3x+4y=12 intersect the ellipse x^2/25+y^2/16=1 at P and Q , then p...

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  5. Prove that: s in^4pi/8+s in^4(3pi)/8+s in^4(5pi)/8+s in^4(7pi)/8=3/2

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  6. If x1,x2,x3 as well as y1,y2,y3 are in G P with the same common ratio,...

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  7. Find the sum of the series (2^2-1)(6^2-1)+(4^2-1)(8^2-1)+...+(100^2-1)...

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  8. The solution set of inequation |x^(2)-2x|+|x-4|gt|x^(2)-3x+4| is a sub...

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  9. Find the sum of infinite terms of the series : 3/(2*4)+5/(2*4*6)+7/(2*...

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  10. If sum(n=1)^oocot^(-1)((n^2)/2)=a/bpi where a/b is rational number in...

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  11. If the two roots of the equation (lambda-2)(x^2+x+1)^2-(lambda+2)(x^4+...

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  12. The solution set satisfyin the inequality, (sqrt(21-4a-a^(2)))/(a+1) l...

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  13. A quadratic equation f(x)=a x^2+b x+c=0 has positive distinct roots re...

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  14. If the sum of all values of y satisfying the equation e^y([x]-2)=[x]-1...

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  15. Draw the graph of the function: f(x)=||x2|-3|

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  16. Consider a circle C : x^2+y^2-8y+12=0 and an ellipse E :(x^2)/(a^2)+(y...

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  17. A golf ball is dropped from a height of 80 m. Each time the ball hi...

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  18. The value of (lim)(nvecoo)((sin{2/n})/([2nt a n1/n](t a n1/n))+1/(n^2...

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  19. Parabola, P1 has focus at S(2,2) and y-axis is its directrix. Parabola...

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  20. If abcd = 1, where a,b,c and d are positive real numbers, then find th...

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