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SHARAM PUBLICATION-MODEL QUESTION PAPER -15-EXERCISE
- Eliminate x,y,z from a=x/y-z, b=y/z-x, c=z/x-y
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- For what value of lambda,is the function f(x)={(lambdax^2-2x,if xle0),...
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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 y^2cot x = x^2 coty then find (dy)/(dx)
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- Find the equation of the normal to the curve y=(logx)^2 at x=frac[1][e...
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- Find two positive numbers whose product is 256 and whose sum is least.
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- Integrate:inta/(b+ce^x)dx
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- Integrate:int sec(sqrtx)/(sqrtx)dx
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- Prove that int0^(pi/2)(sin^nx)/(sin^nx+cos^nx)dx=pi/4
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- Find the area bounded by y=sinx,y=0,x=pi/2
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- Solve : (x+y)dy +(x-y)dx = 0.
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- If hati +hatj+hatk and 2hati -alphahatj+3hatk are orthogonal to each o...
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- If the magnitude of the difference of two unit vectors is sqrt3 then f...
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- Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...
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- If veca=2vecb and vecc=-3vecb, then what is the angle between veca and...
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- If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...
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- Find the value of k for which f(x)={{:((sqrt(1+kx)-sqrt(1-kx))/(x)", ...
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- Find the derivative of ((x-1)/(x^2+5))^-4 cos^-1((1-x^2)/(1+x^2))
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- Use the function f(x) = x^(1/x),x gt 0 to show that e^pi )grt pi^e.
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- Find the area enclosed by y=4x-1 and y^(2)=2x.
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