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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Show that int0^pixInsinx=pi^2/2In1/2
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- Solve dy/dx+y/x=sinx/x,y(0)=0
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- If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...
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- A figure consists of a semi-circle with a rectangle on its diameter. G...
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- Find the points on the curve y = x^2+1 which are nearest to the point ...
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- Prove that a-=bmod 3 is an equivalence relation on the set of integers...
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- If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...
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- A factory uses three different respurce for the manufacture of two dif...
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- If the edges of a rectangular parallelopiped are of lengths a, b, c, t...
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- Find the distance of the point (3,-4,5)from the plane 2x+5y-6z-19=0 me...
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- A variable plane is at a constant distance p from the origin and meets...
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- Without expanding show that the following determinant is equal to Ax+B...
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- If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...
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- Find the probability distribution of number of doublets in four throws...
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- What is the value of int0^picos^(101)xdx?
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- 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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