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If f(x)=e^(x+a),g(x)=x^(b^2) and h(x)=e^...

If `f(x)=e^(x+a)`,`g(x)=x^(b^2)` and `h(x)=e^(b^2x)`,show that `(g[f(x)])/(h(x))=e^(ab^2)`

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UNITED BOOK HOUSE-MCQ-EXERCISE
  1. Define power set of a set A. Find the power set.of A = {{1}, [2, 3}}.

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  2. If A ={1, 2, 3, 4, 5} and B = {1, 2, 3, 7, 8, 9},find the value of n{(...

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  3. If f(x)=e^(x+a),g(x)=x^(b^2) and h(x)=e^(b^2x),show that (g[f(x)])/(h(...

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  4. Prove that tan (pi/12)tan((5pi)/12)tan ((7pi)/12)tan((11pi)/12)=1

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  5. Prove that tan62^@=2tan34^@+tan28^@

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  6. If cosalpha+cosbeta=1/3and sinalpha+sinbeta=1/4,show that tan ((alpha+...

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  7. Show that 1/(sin10^@)-sqrt3/(cos10^@)=4

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  8. Show that secalpha-tanalpha=cot(pi/4+alpha/2)

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  9. Solve :3sin^2x+7cos^2x=6

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  10. In triangleABC angleB=60^(@), c=2sqrt(3), b =3sqrt(2) then find angle...

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  11. If (2^(2n)-1)is divisible by 3, then show that [2^(2(n+1))-1]is also d...

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  12. Simplify : (1+i)^(-2)-(1-i)^(-2)

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  13. Find a quadratic equation with rational co-efficient whose one root is...

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  14. State fundamental theorem of algebra

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  15. If ^9P5 + 5. ^9P4 = ^I0Pr, find r.

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  16. If ^nC4=21xx^(n//2)C3find n.

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  17. Find the middle term (or terms) in the following expansions: (iii) (...

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  18. The sum to n terms of an A.P. is n^(2). Find the common difference.

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  19. If the slope of the line joining the points (2k,-2) and (1,-k) be (-2)...

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  20. Find the equation to the circle whose parametric equations are, x = ...

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