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Evaluate' : lim(xrarroo)(1-sqrtx)/(1+sqr...

Evaluate' : `lim_(xrarroo)(1-sqrtx)/(1+sqrtx)`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 8-EXERCISE
  1. The equation of one arm of a equilateral triangle is x + y = 2 and th...

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  2. If y=x^nlogax(a>0,a!=1),then show that logea(xy1-ny)=x^n

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  3. Evaluate' : lim(xrarroo)(1-sqrtx)/(1+sqrtx)

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  4. If A and B are two events., such that P(A) = P(B)-= 1, then Prove that...

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  5. Find that mean deviation from Arithmetic mean of the' natural numbers ...

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  6. A market research group conducted a survey of 500 consumers and report...

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  7. If alphaand betaare positive acute angles and cos2alpha=(3cos2beta-1)/...

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  8. In any triangle ABC If sinA : sinB: sinC=4:5:6,then prove that cos A ...

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  9. Prove by. mathematical induction :1.2+2.2^2+3.2^3+...+n.2^n=(n-1)2^(n+...

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  10. If S1, S2 and S3 be respectively the sum of n, 2n and 3n terms of a G....

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  11. Two parallel straight lines contains 5 points and 10 points respective...

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  12. If the coefficients of 2nd,3rd and 4th terms in the (1+x)^(2n)are in A...

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  13. Vertices of /\XYZ are X(-2, -3),Y (6, 1), and Z(1, 6). Find the co-ord...

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

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  15. A circle passes through(1,-2) and (4,-3) and its.centre lies on the st...

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  16. A point divides the line segment joining the point (2, -5. 8) and(3, 4...

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  17. Show thatlim(xrarr0)(x^2sin(1/x))/(sinx)=0

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  18. Differentiatesqrttanx,with respect to x.(With the help of 1st principl...

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  19. Using contrapositive method show that the compound statement is are tr...

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  20. If n is real and n > 3, show that n^2 > 9 (use the method of contradic...

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