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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Show that the rectangle of maximum area that can be inscribed in a giv...
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- Prove the following by vector method. Altitudes of a triangle are conc...
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- Find the magnitude and equation of the line of shotest distance betwee...
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- Solve the following by matrix method x-y+z=4, 2x+y-3z=0, x+y+z=2
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- Prove that abs((-2a,a+b,c+a),(a+b,-2b,b+c),(c+a,c+b,-2c))=4(b+c)(c+a)(...
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- Show that the function f : R^+toR^+ defined by f (x) =x+1/x is injecti...
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- Solve "sin"^(-1)x-"cos"^(-1)x="cos"^(-1)sqrt(3)/(2)
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- Solve: 2sin^(-1) x +sin^(-1) (1-x)= pi/2
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- Evaluate intln(x^2+x+2)dx
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- int0^pi((xtanx)/(secx+tanx))dx
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- Solve the differential equation (dy)/(dx)= (y-x+1)/(y+x+5).
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- Differentiate cos^(-1)(sinx) w.r.t.x.
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- int(cot xdx)/(ln sin x) = ?
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- How many independent constants are there in the general equation of a ...
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- What is the range of the signum function?
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- If the vectors hati+2hatj+hatk & 2hati+3hatj+alphahatk are perpendicul...
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- Between tan 1 and tan^(-1)1, which is greater?
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- Answer the following: In which inverval does the determinant A =[[1...
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- What is AB – BA if A, B and AB are all symmetric matrices .
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- If y =(cosx+sinx)/cosx, then what is dy/dx ?
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