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SHARAM PUBLICATION-MODEL QUESTION PAPER 20-EXERCISE
- If A = R -{3} and B = R -{1}. Consider the function f:A to B defined b...
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- Prove that 2 tan^-1(1/2) + tan^-1 (1/7) = tan^-1 (31/17).
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- Find the feasible region of the system. 2y-xge0,6y-3xle21,xge0,yge0
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- Prove by vector method that in a Delta ABC, c^(2) = a^(2) + b^(2) - 2a...
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- The diagonals of a parallelogram are given by veca =2hati - 3hatj + 5h...
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- Find the image of the point (2, 3, 4) with respect to the plane x - y ...
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- Find the equation of planes passing throught the points (1,2,3),(1,-4,...
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- Prove that the lines x = ay + b, z = cy + d and x = a'y + b' , z= c'y ...
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- Show that f : N to N, given by f(x)= {(x+1", if x is odd"),(x-1", if...
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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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- Solve the LPP Maximize z=5x+3y Subject to 3x+5yle15 5x+2yle10 , ...
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- If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] then find the value of A^(2)-3A+2I
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- If a, b and c are all positive real, then prove that minimum value of ...
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- Find the value of k so that the function f defined by f(x)={((kcos x)/...
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- If y = x^(cotx) 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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- Evaluate int0^ pi x/(1+ sin x) dx
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- Find the area of region in the first quadrant enclosed by the X-axis, ...
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- Find the solution of the following differential equations: (2x+y+1)dx+...
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- Three vectors veca, vecb and vecc satisfy the condition veca + vecb + ...
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