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Find the term independent of x of the ex...

Find the term independent of x of the expansion of `(1+x)^3(x-1/x)^6`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 12-EXERCISE
  1. Prove by mathematical induction, 1+1/4+1/9+...+1/n^2<2-1/nwhen n ge 2,...

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  2. If arg ((z-1)/(z+1))=pi/4,, then show that in complex plane, the locus...

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  3. Find the term independent of x of the expansion of (1+x)^3(x-1/x)^6

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  4. If pth, qth and rth terms of on AP are a. b and c, then show that a(q...

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  5. A straight line form a right angled triangle with the axes. If the len...

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  6. If the co-ordinate of vertices of a triangle are (10, 4), (-4, 9) and ...

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  7. Find the co-ordinate of a point on the circle x^2 +y^2 - 4x + 2y - 20...

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  8. The co-ordinate of the vertices of a triangle are A(0, 2, -3), B(- 2,...

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  9. Differentiate x+1/x(x!=0)at x = 1, with respect to x, with the help of...

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  10. Evaluate : lim(xrarr0)sin(x^2+4x)/(x^3-5x^2+2x)

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  11. ‘If p' and q are rational numbers, then pq is also rational convert t...

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  12. ‘Square of a whole number is positive or negative’-find the validity o...

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  13. If two numbers a and b are-chosen at random from the 1st 30 natural nu...

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  14. Find A.M. and SD of the following distribution table :

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  15. Using vector method in a triangle , prove that, (i) a/(sinA)=b/(sinB...

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  16. If alpha,beta positive acute angles and sec(alpha+beta)-sec(alpha-beta...

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  17. Draw the graph and find the common region of the system of following i...

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  18. if z1=1+isqrt3,z2=sqrt3-ishow that (a)arg (z1z2)=arg(z1)+arg(z2)and (b...

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  19. Find the vlaue of 47 C4+sum(r=0)^ 3( 50-^ rC3)

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  20. Find the length of the normal chord of a parabola y^2 = 4x, which make...

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