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Prove the "sin"^(-1) sqrt((x-q)/(p-q))="...

Prove the `"sin"^(-1) sqrt((x-q)/(p-q))="cos"^(-1)`sqrt((p-x)/(p-q))="cot"^(-1) sqrt((p-x)/(x-q))`

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. What is the value of int0^100[tan^(-1)x]dx ?

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  2. Write the value of inte^(x)e^(e^x)e^(e^(e^x))dx.

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  3. Prove the "sin"^(-1) sqrt((x-q)/(p-q))="cos"^(-1)sqrt((p-x)/(p-q))="co...

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  4. Let X and Y be sets containing m and n elements respectively.What is t...

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  5. Solve the following LPP graphically: maximize Z=5x+7y subject to 3x+yl...

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  6. Solve:"sin"^(-1)2x+"sin"^(-1)x = pi/3.

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  7. Show that the operation * given by x*y=x+y+ -xy is a binary oeration o...

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  8. If ax+hy+g=0, hx+by+f=0 and gx+fy+c=lamda, find the value of lamda in ...

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  9. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

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  10. Find the adjoint of the following matrice. [[1,1,-1],[2,-1,2],[1,3,-2...

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  11. If A and B are matrices of the same order and AB=BA, Then prove that ...

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  12. Solve by matrix method: 2x + 3y=1,4x+5y=3

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  13. If e^x+e^y=e^(x+y), find dy/dx.

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  14. If x^7y^3=(x+y)^10, then find (d^2y)/(dx^2)

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  15. Determine the values of x for which the function f(x)= x^x, xgt0 is in...

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  17. Find the angle between the tangents to the curve y=x^2-5x+6 at the poi...

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  18. Find the area of the region bounded by y=6x-x^2x-axis and between ordi...

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  19. intsin^-1sqrt(x/(a+x))dx=.

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  20. Solve : xdy/dx+y=xy^2

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