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Evaluate:lim(xrarr0)(sqrt(1+x+x^2)-1)/x...

Evaluate:`lim_(xrarr0)(sqrt(1+x+x^2)-1)/x`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 10-EXERCISE
  1. The cor-ordinate of three consecutive verties of a parallelogram ar (3...

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  2. Differentitate (1/t^3+2sqrtt)with respect to t.

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  3. Evaluate:lim(xrarr0)(sqrt(1+x+x^2)-1)/x

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  4. If P(A - B) = 1/3,P(A) =1/2 and P(B) =1/3 ,find the probability that ...

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  5. Calculate the variance of 1st h natural numbers.

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  6. For any three sets A, B, C. show thatAxx(B-C)=(AxxB)-(AxxC)

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  7. Show that tan6^@tan42^@tan66^@tan78^@=1

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  8. Solve :2+2cos2x.cos5x=sin^2 2x

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  9. Prove that by mathematical induction,4^n+15n-1is divisible ny 9 when n...

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  10. Prove that ((i-sqrt3)/(i+sqrt3))^200+((i+sqrt3)/(-i+sqrt3))^200= -1

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  11. If the sum of 1st n tenn of a GP is Sn=1 and S(2n)=4,show that S(3n):S...

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  12. In the expansion of (x+P)^n,the 6th ,7th,8th and 9th terms are a,b,c a...

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  13. Show that the straight lines x/a+y/b=1/c, x/b+y/c=1/a and x/c+y/a=1/b ...

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  14. The co-ordinates of the end points of a diagonal of a rectangle are (...

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  15. Find the equation of a circle which is passes through the point (4,3) ...

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  16. Show that the points (0. 7, 10), (-1, 6, 6) and (-4, 9, 6) form a righ...

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  17. Differentiate (from 1st principle) sinx/xwith respect to x

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  18. Prove that the statement , “If all the angles of a triangle are equal,...

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  19. Prove that sqrt2 irrational, (use the method of contradiction).

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  20. Two unbiased dice are thrown. Find the probability that the upper fac...

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