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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- If Aand B are both symmetric matrices of same oder,then prove that AB...
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- If ABC is a triangle, then prove that abs[[tanA,1,1],[1,tanB,1],[1,1,...
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- Solve by matrix method 2x+y=5,x-y=1
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- Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent ...
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- If 2y=x(1+(dy)/(dx)), then show that y(2) is a constant.
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- If y=tan^(-1)(cosx/(1+sinx)),then prove that dy/dx=-1/2
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- Examine the continuity of the following functions at indicated points....
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- If f(x+y)=f(x)f(y)for all real x,y,f(2)=3,f'(0)=1 then what is the val...
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- Find the area of the circle x^2+y^2=2ax.
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- 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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