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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- 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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- Prove that cos^(-1)(frac[b+acosx][a+bcosx])=2tan^(-1)(sqrt(frac[a-b][a...
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- Maximize:Z=10x1+12x2+8x3 "Subject to": x1+2x2 le 30 5x1 -7x3 ge 12 x1+...
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- Let f: X rarr Y If there exists a map g:Y rarr X such that gof = id...
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- Using vector method prove that cosA=(b^2+c^2-a^2)/(2bc)
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- A variable plane meets the coordinate axes at A, B, C and is at a cons...
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- Show that the shortest distance between the lines x+a=2y=-12z and x=y+...
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- Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]=(b-c)(c-a...
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- Solve the following system of equations by matrix method x+2y+3z=8, 2x...
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- Find the distance between the parallel planes 2x-2y+z+1=0 and 4x-4y+2z...
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- If y=x^(-1)sincosec^(-1)frac[1][x], then what is frac[dy][dx]?
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- Write down the smallest and the largest equivalence reaction on a set ...
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- Differentiate twice intsin^(-1)xdx+intcos^(-1)xdx
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