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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- 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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- Prove that : |veca + vecb|le|veca|+|vecb|.
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- If A (1,0,-1), B (-2,4,-2) and C(1,5,10) be the vertices of a triangle...
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- Find a symmetric form of the equation to the lines x +2y-z-2= 0 and 2x...
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- Find the points of intersection of the line (x-1)/1=(y+2)/ 3 =(z-1)/(...
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- Find frac[dy][dx] if y=tan^(-1)(frac[sqrt(a^2+x^2)+sqrt(a^2-x^2)][sqr...
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- A curve passes through the point (2, 0) and slope of tthe tangent at a...
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- Prove that int0^(pi)frac[xdx][1+sinx]=pi
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- Find the solution of the following differential equations: (2x+3y-5)dy...
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