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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Let ast be a binary operation on the set of real numbers, defined by a...
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- Let ast be a binary operation on the set of real numbers, defined by a...
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- If a relation R is defined on the set Z of integers as following (a,b)...
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- If A=[[2,0,-3],[4,3,1],[-5,7,2]] is expressed as sum of a symmetric an...
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- Given the equations x=cy+bz, y=az+cx and z=bx+ay where x,y and z a...
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- Find A^2-5A+6 if A=[[2,0,1],[2,1,3],[1,-1,0]]
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- Let a,b and c are real number and Delta=|{:(b+c,c+a,a+b),(c+a,a+b,b+...
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- If A=[{:(cosalpha,-sinalpha),(sinalpha,cosalpha):}]andA+A'=I , then fi...
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- Find the value of a and b if the function given below is continuous. ...
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- If y=(sinx)^(tanx), find frac[dy][dx]
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- If y=log[x+sqrt(x^(2)+1)], then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+...
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- Prove that all normals to the curve x = a cos t + at sin t, y = a sin ...
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- If y=(tan^(-1)x)^2 then show that (x^2+1)^2 (d^2y)/(dx^2)+2x(x^2+1)((d...
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- Find intsec^3xdx
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- int0^(pi/2)sin2x log(tanx)dx
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- Solve (1+x^2)frac[dy][dx]+2xy-4x^2=0 subject to the initial condition ...
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- Evaluate: intfrac[x+3][sqrt(5-4x+x^2)]dx
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- If with reference to the eight handed system of mutually perpendicular...
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- Let veca and vecb be two unit vector and alpha be the angle between th...
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- Find the distance between the two planes 2x+3y+4z=4 and 4x+6y+8z=12.
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