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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- intdx/(sqrtx-root(3)(x))(x=t^6)
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- Solve dy/dx+y/x=xy^2.
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- Evaluate int0^2abs(x^2+2x-3)dx
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- Evaluateint-2^2[x^2+3x+2]dx.
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- Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...
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- Find the vector projection of veca=hati-hatj+hatk on vecb=3hati+hatj+3...
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- Show that the line passing through the points (a1,b1,c1) and (a2,b2,c2...
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- What is the number of line which are equally inclined to the axes?
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- Prove that (d)/(dx)[(sin2x+1/(cos^2x)]
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- If y=e^x+a^x+x^x, then find dy/dx at x=a
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- Show that the semivertical angle of a cone of given slant height is ta...
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- If a=2hati+hatk,b=hati+hatj+hatkandc=4hati-3hatj+7hatk, then find the ...
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- If a line in the space makes angles alpha, beta and gamma with the c...
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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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- If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...
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- Prove that abs((a,b,c),(a^2,b^2,c^2),(bc,ca,ab))=(a-b)(b-c)(c-a)(ab+bc...
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- Prove that tan{(pi)/(4)+(1)/(2) "cos"^(-1)(a)/(b)}+tan{(pi)/(4)-(1)/(2...
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- int(x^2+1)/(x^4+x^2+1)dx
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- Show that int0^1(Inx)/sqrt(1-x^2)dx=pi/2In1/2
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- Solve the following differential equations (1-x^2)(dy)/(dx)+2xy= x s...
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