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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Prove statement"tan"^2 "cos"^(-1)1/sqrt3 +"cot"^2 "sin"^-1 1/sqrt5 =6
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- Let R={(m,n):2 divides m+n} on Z. Show that R is an equivalence relati...
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- Find the feasible solution region of x+yle1,2x+3yle6,xge0,yge0.
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- Prove statement tan ( 2 "tan"^(-1)1/5-pi/4) + 7/17 =0
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- Prove that for any f:X rarr Y , f o idx = f =idY of.
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- If ABC is a triangle, then prove that abs[[tanA,1,1],[1,tanB,1],[1,1,...
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- Find B if B^(2)=[{:(17,8),(8,17):}]
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- If f(x)=[[1+sin^2x,cos^2x,4sin2x],[sin^2x,1+cos^2x,4sin2x],[sin^2x,cos...
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- Solve the following : [[x,1,3],[1,x,1],[3,6,3]]=0
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- If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...
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- If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a
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- If ysqrt(x^2 +1) = log{sqrt(x^2 +1)- x} then prove that (x^2 +1) dy/dx...
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- Find the equation of normal to the curve x^3 =4y which passes through ...
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- If y=x^2cos^(-1)(frac[sqrtx-1][sqrtx+1])+x^2cosec^(-1)(frac[sqrtx+1][...
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- Integrate int(frac[x-1][2x+1])dx
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- int0^2[x^2]dx
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- int0^(pi/2)e^x cosxdx
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- Solve(x log x )dy/dx+y=2 log x.
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- Find the area of the portion of the parabola y^2=4x bounded by the dou...
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- If the sum of two unit vectors is a unit vector, show that the magnitu...
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