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SHARAM PUBLICATION-QUESTION PAPER 2015-EXERCISE
- If (2,3,5) is one end of a diameter of the sphere x^2+y^2+z^2-6x-12y-2...
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- If [[3,5,3],[2,4,2],[lambda,7,8]] is a singular matrix, write the valu...
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- There are 4 letters and 4 directed envelopes. Write the number of ways...
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- Write the probability that two persons have the same birthday (conside...
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- A line makes angles 60^(@) and 45^(@) with the positive direction of X...
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- Write the equation of the plane perpendicular to y-axis at the point (...
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- Show that (dy)/(dx) is independent of t . cos x=sqrt((1)/(1+t^(2))) an...
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- Find (dy)/(dx), when y^(x)=x^(siny)
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- Evaluate: underset(x rarr0^+)lim log(tan x)tan2x.
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- Find the approximate value of root(6)(63).
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- Show that 2sinx+tanxge3x for all x epsilon(0,(pi)/(2)).
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- Find the area of the circle x^2+y^2=2ax.
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- Evaluate: int x^2 tan^(-1)xdx.
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- Evaluate int dx/(x ln (x)sqrt((In(x))^2-4))
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- Solve the following differential equations (x+2y^3)(dy)/(dx)= y
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- Solve the following differential equation : x^(2)(y-1)dx+y^(2)(x-1)dy ...
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- Find the particular solution ofthe differential equation (d^2y)/(dx^2)...
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- If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...
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- Prove that the measure of the angle between two main diagonals of a cu...
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- Prove by vector method that the lines joining the mid points of consec...
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