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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- If A is a 2xx2 non-singular matrix and absA=1/2 then which matrix is r...
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- Write the subinterval of (0,pi) in which sin (x+pi/4) is increasing.
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- What is the value of int0^2abs{x-1)dx?
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- Solve for x, cos^(-1)x +sin^(-1)((x)/(2)) =(pi)/(6).
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- If R and S are two equivalence relation on the set then prove that Rca...
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- Show that:4(cot^(-1)(3/2)+cosec^(-1)sqrt(26))=pi.
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- Prove that f:RrightarrowR such that f(x)=frac[2x^2][x^2+1] is neither ...
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- Factorize the following. [[a,b,c],[b+c,c+a,a+b],[a^2,b^2,c^2]]
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- Find B if B^(2)=[{:(17,8),(8,17):}]
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- If x,y,z are positive and are the pth, qth and rth terms of a G.P. the...
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- Find the adjoint matrix of the matrix [[2,5],[1,4]]
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- Solve the following : [[x,1,3],[1,x,1],[3,6,3]]=0
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- Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent ...
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- Find (dy)/(dx), if y=tan^(-1)((cosx)/(1+sinx)).
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- Find the equation of the tangent and normal to the curve y(x-2)(x-3)-x...
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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 y=x+frac[1][x+frac[1][x+...infty]] find frac[dy][dx], the rhs bein...
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- Solve (x+y+1)frac[dy][dx]=1
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- Integrate intfrac[tanx+tanalpha][tanx-tanalpha]dx
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- Integrate the following int0^1x^7/sqrt(1-x^2)dx
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