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If f(x)=e^(px+q),then shoq that f(a).f...

If `f(x)=e^(px+q)`,then shoq that `f(a).f(b).f(c)=f(a+b+c).e^(2q)`

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2016-EXERCISE
  1. If i^2=-1,then the value of modulus of (3i-1)^2will be

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  2. Find the domain of the function f(x)=(x^(2)+3x+5)/(x^(2)-5x+4)

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  3. If f(x)=e^(px+q),then shoq that f(a).f(b).f(c)=f(a+b+c).e^(2q)

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  4. if 13theta=pi,then show that cos3theta+cos5theta+2costheta.cos9theta=0

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

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  6. Find the square root of i

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  7. Find the (r+1)th term from the end in the expansion of (1-3x)^n.

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  8. Prove that by using the principle of mathematical induction for all n...

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  9. Let the sum of n, 2n, 3n terms of an A.P. be S1, S2 and S3 , respectiv...

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  10. Find the locus of the mid-point of the portion of the line x cosalpha+...

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  11. If the coordinates of a point lies on the ellipse 9x^2+16y^2=144 be (2...

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  12. If y=e^x/(1+x^2),determin dy/dx.

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  13. Evaluate :lim(xrarrpi/4)(1-tanx)/(x-pi/4)

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  14. can 7/2be the probability of an event? Explain.

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  15. Two variables x and y are related by y=10-3x.If the standard deviation...

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  16. For any three sets A,B and C prove that Acup(BcapC)=(AcupB)cap(AcupC)

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  17. Find the value of 16cos(pi/15).cos((2pi)/15).cos((4pi)/15).cos((8pi)/1...

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  18. Show that sin^3alpha+sin^3(120^@+alpha)+sin^3(240^@+alpha)=-3/4sin3alp...

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  19. Prove that by using the principle of mathematical induction for all n...

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  20. If the P^(th)and q^(th)terms of an A.Pare a and b respectively,then sh...

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