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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Show that the shortest distance between the lines x+a=2y=-12z and x=y+...
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- Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]=(b-c)(c-a...
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- Solve the following system of equations by matrix method x+2y+3z=8, 2x...
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- Find the distance between the parallel planes 2x-2y+z+1=0 and 4x-4y+2z...
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- If y=x^(-1)sincosec^(-1)frac[1][x], then what is frac[dy][dx]?
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- Write down the smallest and the largest equivalence reaction on a set ...
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- Differentiate twice intsin^(-1)xdx+intcos^(-1)xdx
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- If x+y=4, xy=1 then what is the value of tan^(-1)x+tan^(-1)y?
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- What is the value of hata*hatb+hatb*hatc+hatc*hata if hata+hatb+hatc=v...
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- What is the value of abs[[a,b+c,1],[b,c+a,1],[c,a+b,1]] ?
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- 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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