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Prove that by using the principle of ma...

Prove that by using the principle of mathematical induction for all `n in N`:
`10^(2n-1)+1` is divisible by 11

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2016-EXERCISE
  1. Find the square root of i

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Find the probability of drawing 4 cards from a pack of 52 cards such t...

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  17. Find the sum of n-terms of the following series:(x+1/x)^2+(x^2+1/x^2)^...

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  18. The equations of two sides of a square are 5x+12y-10=0 and 5x+12y+29=0...

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  19. Find the equation of the circle passes through the points (4,3) and (-...

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  20. Show that the area of the triangle formed by the lines y = m(1) x + c(...

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