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SHARAM PUBLICATION-QUESTION PAPER 2010-EXERCISE
- If the position vectors of the points A, B, C are 2hat(i) + hat(j) - h...
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- Find the scalar projection of the vector vec a= 3 hat i+6 hat j+9 hat ...
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- Find the value of lambda such that the following vectors are coplanar...
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- Bisecting the line segment joining (-1,4,3) and (5,-2,-1) at right ang...
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- Proved that the line (x-1)/2=(y+2)/(-3)=(z-3)/1 lies on the plane 7x+5...
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- If one end of a diameter of the sphere x^2+y^2+z^2-2x+4y-6z-11=0 is (-...
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- Show that feasible region for the following constarints in a graph 2x+...
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- If a system of equations lamda x +3y=0 x+(lamda-2)y=0 has infinitely...
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- Find the inverse of the following : [[2,5],[1,3]]
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- If the sets A and B have m and n elements respectively, then how many ...
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- If A and B are any two events and AsubB, then prove that P(A)leP(B)
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- If a die is thrown twice in succession, then find the probability that...
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- Find (dy)/(dx) if x=y^x+tan^(-1)x.
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- if y=e^(cos^(-1)x) then find dy/dx.
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- Show that the rectangle of maximum area that can be inscribed in a giv...
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- Determine: underset (x rarr0)lim(x cos x)/( sin x).
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- Integrate: int sin 4xdx
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- Evaluate int (dx)/((x+1)sqrt(1-x^2))
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- int0^pi(xdx)/(1+sinx)
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- Find the solution of the following differential equations: (2x+y+1)dx+...
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