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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- If f(x)={(3x+2,xle0),(2-3x,xgt0):}
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- What is the equation of the plane |r to y-axis and passing through(2,-...
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- Find least non negative integer r such that 7xx13xx23xx413 -= r "(mod ...
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- For a 2xx2 matrix A,if AxxadjA=[(10,0),(0,10)]then what is the value o...
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- Write the Order and degree of the differential equation whose general ...
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- With 4 different elements how many different determinant of order 2 ca...
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- What is the value of a so that 6hati+2hatj-3hatk and hati-4hatj+ahatk...
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- If "sin"^(-1)x+"sin"^(-1)y+"sin"^(-1)z=pi, show that xsqrt(1-x^(2))+ys...
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- Find the feasible solution region of the following system:-x+yge-1,x+y...
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- If "tan"^(-1) x +"tan" ^(-1) y +"tan"^(-1)z -pi show that x+y+z=xyz.
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- If p is a prime and ab-=0 (mod p) then show that either a=0 (mod p) or...
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- If A+B+C=pi,then show that Abs((-1,cosC,cosB),(cosC,-1,cosA),(cosB,cos...
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- Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...
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- If A=[(1,2),(2,3),(3,4)]and B=[(2,3,0),(1,2,3)],then verify that (AB)^...
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- Find A^-1 if A=[(4,-1),(2,3)]
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- Express[(3,-1,0),(2,2,5),(1,3,2)]as sum of a symmetric and a skew symm...
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- Find the point on the curve x^2 + y^2 - 4xy + 2 = 0 where the normal...
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- If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2
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- Find the interval where f(x)=sinx,x in[0,2pi] increasing.
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- If siny=xcos(a+y),show that dy/dx=cos^2(a+y)/cosaand find the value of...
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