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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Integrate the following int[(2x+1)/sqrt(x^2+10x+29)]dx
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- If veca=hati+2hatj-3hatkand vecb=3hati-hatj+2hatk,then find the angle ...
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- Find the equation of plane passing through the intersection of the pla...
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- Find the co-ordinates of the foot of the perpendicular from the point ...
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- Prove that (vecaxxhati)^2+(vecaxxhatj)^2+(vecaxxhatk)^2=2veca^2
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- Prove that the line (x+5)/3=(y+4)/1=(z-7)/-2 and x/1=(y+7)/5=(z-16)/-1...
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- Evaluate the following integrals int(3)/(x^3-1)dx
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- Show that int0^pixInsinx=pi^2/2In1/2
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- Solve dy/dx+y/x=sinx/x,y(0)=0
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- If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...
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- A figure consists of a semi-circle with a rectangle on its diameter. G...
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- Find the points on the curve y = x^2+1 which are nearest to the point ...
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- Prove that a-=bmod 3 is an equivalence relation on the set of integers...
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- If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...
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- A factory uses three different respurce for the manufacture of two dif...
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- If the edges of a rectangular parallelopiped are of lengths a, b, c, t...
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- Find the distance of the point (3,-4,5)from the plane 2x+5y-6z-19=0 me...
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- A variable plane is at a constant distance p from the origin and meets...
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- Without expanding show that the following determinant is equal to Ax+B...
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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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