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Evaluate :lim(xrarra)(root(3)(x)-root(3)...

Evaluate :`lim_(xrarra)(root(3)(x)-root(3)(a))/(x-a)`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 2-EXERCISE
  1. Find the perpendicular distance from (2,3,4) to x- axis and z- axis.

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  2. Convert the straight line sqrt3x+y+14=0 into normal form.

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  3. Evaluate :lim(xrarra)(root(3)(x)-root(3)(a))/(x-a)

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  4. IS the derivative of the function f(x)=|x| at x=0.possible?

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  5. In a frequancy distribution,if the mean = 35 & median = 33, then find ...

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  6. A box contains 6 white balls and 4 black balls, A ball is drawn at ran...

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  7. In three sets P,Q,R if Pcup R=Pcup Qand Pcap Q=PcapR,then show that Q=...

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  8. Show that,tan7 (1^@/2)=sqrt6-sqrt3+sqrt2-2

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  9. Prove by mathematical induction, n.1+(n-1).2+(n-2).3+…+2.(n-1)+1.n = ...

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  10. If a+ib=sqrt((x+iy)/(p+iq)),show that (a^2+b^2)^2=(x^2+y^2)/(p^2+q^2)

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  11. If the p^(th), q^(th) and r^(th) terms of a G.P. are x, y, z respec...

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  12. The co-efficients of the expansion of (1+x)^(2n-1)and (1+x)^(2n)are P ...

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  13. The co-ordinates of the vertices of a quadrilateral are (3,-2)(6,2)(4,...

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  14. Find the equations of straight line which are perpendicular to the str...

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  15. A circle through the common points of the circles x^2+y^2-x+7y-3=0and ...

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  16. Find the equations of the two straight line parallel to the line 3x+4y...

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  17. Evaluate :lim(xrarr0)((a+x)^2sin(a+x)-a^2sina)/pi

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  18. If the derivatives of f(x) at x=a is f'(a) ,then show that lim(xrarra)...

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  19. If n is a such real number that n>3 .then n^2>9 prove it by the method...

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  20. From 20 cards marked with the 1st 20 natural numbers.one is drawn at r...

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