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If y=x+x^2+x^3+...oowhere|x|<1,prove tha...

If `y=x+x^2+x^3+...oo`where|x|<1,prove that `x=y/(1+y)`

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2015-EXERCISE
  1. In a /\ABC,sin^2A+cos^2C=cos^2Bfind angleC

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  2. Find the principal amplitude of-3-sqrt3i

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  3. If y=x+x^2+x^3+...oowhere|x|<1,prove that x=y/(1+y)

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  4. Show that the middle term in the expansion of (x+1)^(2n) is (1.3.5.......

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  5. The co-ordinates of the focus of the parabola described paraetrically...

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  6. Determine the equation of the straight line through the point (2,3)whi...

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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. The standard deviation of 32 numbers is 5.If the sum of the numbers is...

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  10. Fird the probability of getting a head when a coin is tossed once. Als...

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

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

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

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

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  15. 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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  16. Find the sum of first n terms of 1+3+7+15+31+….

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  17. How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and ...

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  18. A moving straight line always passes through a fixed point (alpha,beta...

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

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  20. A ray of light along the line x-2y+5=0 is reflected from the line 3x-2...

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