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If (2^(2n)-1)is division by 3,then show ...

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

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UNITED BOOK HOUSE-THE SCOTTISH CHURCH COLLEGIATE SCHOOL-EXERCISE
  1. Find the value of n so that (a^(n+1)+b^(n+1))/(a^(n)+b^n) may be the ...

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  2. In the expansion of (x^2+K/x)^6the co-efficient of x^3is 160.what is t...

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

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  4. Find the equation of the st.line which pass through the pt(3,1) and pe...

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  5. Show that the locus of the pt of intersection of the st.lines xcosthe...

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  6. Find the focus of the parabola y=x^2+x+1.

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  7. Prove that the derivative of an odd function an ever function .

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  8. Evaluate :lim(xrarry)(cos^2x-cos^2y)/(x^2-y^2)

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  9. If y = sqrt(x+sqrt(x+sqrt(x+* * * infty))) then (dy)/(dx)=

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  10. Prove that Axx(BcupC)=(AxxB)cup(AxxC)

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  11. If cos theta=(acosphi+b)/(a+bcosphi)(theta,phiacute angle)show that ta...

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  12. If (tan3alpha)/(tanalpha)=lambda,show that (sin3alpha)/(sinalpha)=(2la...

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  13. For all n ge 1 prove that (1)/(1.2)+ (1)/(2.3)+(1)/(3.4)+.....+(1)/...

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  14. Show that 1 is a root of a(b-c)x^2+b(c-a)x+c(a-b)=0.Hence show that if...

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  15. Find the sum to n terms :1/2+3/2^2+5/2^3+...+(2n-1)/2^n

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  16. Find the term inedpendent of X in the expansion of (1+x)^3(1-1/x)^6

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  17. A moving st.line always passes through a fixed pt.(alpha,beta).Prove t...

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  18. Find the image of the pt.(-3,-1)with respect to the st.line 2x+3y+22=0

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  19. Find equations of all possible circles that touch the y axis at the po...

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  20. Find the equation of the circles which touche the y axes id and passes...

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