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If y=xe^x,show that xdy/dx=(1+x)y....

If `y=xe^x`,show that xdy/dx=(1+x)y.

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 12-EXERCISE
  1. Find the equation of a straight fine passes through the middle ofthe s...

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  2. Find the ratio in which the plane xy divides the join of A(2, 3. 5) an...

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  3. If y=xe^x,show that xdy/dx=(1+x)y.

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  4. f(x)=x^2+ax,when 0lexle1 and f(x)=3-bx^2,when 1lexle2 if limxrarr1f(x...

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  5. A unbiased coin tossed three times. Find the probability of getting 1 ...

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  6. If the variance of a distribution is 4 coefficient of variation is 5%,...

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  7. For any two sets, show that (A cap B) cup (A - B)= A.

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  8. If tan^2 alpha = 1 + 2 tan^2 beta, show that cos2 beta = 1 + 2cos 2alp...

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  9. Solve :sin x 4 cos x = sin 2x 4 cos 2x.

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  10. Prove by mathematical induction, 1+1/4+1/9+...+1/n^2<2-1/nwhen n ge 2,...

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

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

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

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

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

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

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

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

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

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

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