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Evaluate lim(xrarrpi//6)(sqrt3sinx-cosx)...

Evaluate `lim_(xrarrpi//6)(sqrt3sinx-cosx)/((x-pi/6))`

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2018-EXERCISE
  1. Find the focus of the parabola y=x^2+x+1.

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  2. Find the equation of a circle with centre (h,k)and touching both the ...

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  3. Evaluate lim(xrarrpi//6)(sqrt3sinx-cosx)/((x-pi/6))

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

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  5. Find the mean and variance for each of the data in First n natural n...

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  6. If P(A)=2/3,P(B)=1/2,P(AcapB)=1/6,then find the value of P(AcapB')and ...

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  7. Let A={x in N:x^2-5x+6=0}.B={x in W:0lex<2}and C={x in N:x<3},then ver...

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  8. Prove that in any /\ABC.(b-c)cot(A/2)+(c-a)cot (B/2)+(a-b)cot (C/2)=0

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  9. Solve secx-tanx=sqrt3

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  10. If P-th ,q-th and r-th terms of an AP as well those of a GP are a,b,c ...

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  11. Using the principle of mathematical induction ,prove that x^n-y^nis di...

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  12. If z=x+iy andw=(1-iz)/(1+iz)such that |w|=1.then show that z is purely...

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  13. Find the rank of the word 'MOTHER' in dicitonary format.

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

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  15. (2a,0) and (0,a) are the extremities of the base of an isosceles trian...

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  16. A variable straight line passes through the point of intersection of t...

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  17. The abscissae of two points A and B are the roots of the equation x^2+...

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  18. If 2f(x)+f(-x)=1+x,find f'(10),where f'(x) denote derivative of f(x).

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  19. Evaluate lim(xrarrpi//4)(4sqrt2-(cosx+sinx)^5)/(1-sin2x)

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  20. Write the negation of each of the following statements:p:for every rea...

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