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If f(x)=x+tanx and f is inverse o...

If `f(x)=x+tanx` and f is inverse of g, then `g ′(x)` is equal to

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ALLEN-TEST PAPER-MATHS
  1. The least integral value of lambda for which the expression (lambdax^(...

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  2. Prove that : sin^(-1)(5/13) +cos ^(−1)(3/5)=tan (−1)(63/16) ​

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

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  4. 1/(i-1) + 1/(i+1) is a. purely imaginary b. purely rational number....

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  5. |{:(,"List-I(Atom/Ions)",,"List-II(Electron Affinity in eV/atom and co...

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  6. |{:(,"List-I(Orbitals)",,"List-II"),(,"(Approach axis is z-axis)",,"(T...

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  7. Which of the following values of a and b will make a(sin^(6)theta+cos^...

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  8. Which of the following expression gives rational values ?

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  9. Find the root of the equation |x-1|^(x^(2)+x-2)=1

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  10. A circumcircle is a circle which passes through all vertices of a tria...

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  11. A circumcircle is a circle which passes through all vertices of a tria...

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  12. If sec theta+tan theta=(1)/(2) The value of sec theta=

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  13. If sec theta+tan theta=(1)/(2) The value of tan theta =

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  14. If alpha and beta are roots of equation (log(3)x)^(2)-4(log(3)x)+2=0 t...

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  15. If alpha and beta are roots of equation (log(3)x)^(2)-4(log(3)x)+2=0 t...

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  16. Let alpha and beta be the roots of the equation x^2+(2-costheta)x-(1+c...

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  17. If 2p=x+1/x and 2q=y+1/y, then the value of ((pq+sqrt((p^2-1)(q^2-1)))...

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  18. Let P be minimum value of 9sin^2x+16cosec^2x and S be the minimum valu...

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  19. The values of a for which the equation 2(log(3)x)^(2)-|log(3)x|+a=0 po...

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  20. Number of integers satisfying the inequality log((x+3))(x^2-x) lt 1 is

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