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Write the number of ways in which 5 boys...

Write the number of ways in which 5 boys and 5 girls can sit around a round table.

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USHA PUBLICATION-PREVIOUS YEAR QUESTION 2017-PREVIOUS YEAR QUESTION
  1. Write the value of k such that the line (x-4)/1=(y-2)/1=(z-k)/2 lies o...

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  2. If underset(n)(I) is an identity matrix of order n, then k being a nat...

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  3. Write the number of ways in which 5 boys and 5 girls can sit around a ...

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  4. One card is drawn from a pack of 52 cards. Write the probability that ...

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  5. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

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  6. If y=x+frac[1][x+frac[1][x+...infty]] find frac[dy][dx], the rhs bein...

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  7. If U=ln(x^3+y^3+z^3-3xyz), show that frac[deltau][deltax]+frac[deltau...

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  8. lim(xto0)cos(1/x)

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  9. Verify Cauchy's mean value for the functions f(x)=sinx, g(x)=cosx in [...

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  10. Find the equation of the normal to the curve y=(logx)^2 at x=frac[1][e...

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  11. Evaluate int-1^2 {|x\|+[x]}dx

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  12. int0^ax^3(a^2-x^2)^(5/2)dx

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  13. Evaluate intfrac[dx][e^(4x)-5

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  14. intx^2tan^-1xdx

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  15. Find the particular solution of the following differential equation (d...

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  16. Solve the following differential equation (x+2y^(3))dy/dx=y.

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  17. Solve the following second order equations cosec x(d^(2)y)/(dx^2)=x

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  18. Prove that the vectors 2hati-hatj+hatk, hati-3hatj-5hatk, 3hati-4hatj-...

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  19. If veca=3hati+hatj+2hatk,vecb=2hati-3hatj+4hatk then verify that vecat...

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  20. If vecp=frac[1][lambda](vecbtimesvecc),vecq=frac[1][lambda](vecctimes...

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