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If f(x)={(3x+2,xle0),(2-3x,xgt0):}...

If `f(x)={(3x+2,xle0),(2-3x,xgt0):}`

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Find the probability distribution of number of doublets in four throws...

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  2. What is the value of int0^picos^(101)xdx?

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  3. If f(x)={(3x+2,xle0),(2-3x,xgt0):}

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  4. What is the equation of the plane |r to y-axis and passing through(2,-...

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  5. Find least non negative integer r such that 7xx13xx23xx413 -= r "(mod ...

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  6. For a 2xx2 matrix A,if AxxadjA=[(10,0),(0,10)]then what is the value o...

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  7. Write the Order and degree of the differential equation whose general ...

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  8. With 4 different elements how many different determinant of order 2 ca...

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  9. What is the value of a so that 6hati+2hatj-3hatk and hati-4hatj+ahatk...

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  10. If "sin"^(-1)x+"sin"^(-1)y+"sin"^(-1)z=pi, show that xsqrt(1-x^(2))+ys...

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  11. Find the feasible solution region of the following system:-x+yge-1,x+y...

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  12. If "tan"^(-1) x +"tan" ^(-1) y +"tan"^(-1)z -pi show that x+y+z=xyz.

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  13. If p is a prime and ab-=0 (mod p) then show that either a=0 (mod p) or...

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  14. If A+B+C=pi,then show that Abs((-1,cosC,cosB),(cosC,-1,cosA),(cosB,cos...

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  15. Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...

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  16. If A=[(1,2),(2,3),(3,4)]and B=[(2,3,0),(1,2,3)],then verify that (AB)^...

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  17. Find A^-1 if A=[(4,-1),(2,3)]

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  18. Express[(3,-1,0),(2,2,5),(1,3,2)]as sum of a symmetric and a skew symm...

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  19. Find the point on the curve x^2 + y^2 - 4xy + 2 = 0 where the normal...

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  20. If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2

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