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OMEGA PUBLICATION-SAMPLE QUESTION PAPER -QUESTIONS
- Find the shortest distance between the lines given by vec(r) = 3 hat(...
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- Find the co-ordinates of the point where the line through the points A...
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- Solve the following linear programming problem graphically: Maximise...
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- The principal value of sin^(-1)(sin""(2pi)/3) is .......
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- If D = [a(ij)](mxxn) is a rectangular matrix, then
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- The derivative of a^x is
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- Find the rate of change of area of the circle with respect to its ...
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- Evaluate : int (dx)/(x^2-6x+13).
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- The degree of differential equation xy ( d^2 y)/( dx^2) + x ((dy)/( dx...
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- If (hat i, hat j, hat k) are the usual three perpendicular unit vector...
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- The Projection of vector hat(i) - hat(j) on vector hat(i) - hat(j) i...
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- Direction casines of z-axis are
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- If P (A) = 1/2 , P(B) = 0 then P (A|B) is :
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- If A = [[-1,2,3],[5,7,9],[-2,1,1]] and B = [[-4,1,-5],[1,2,0],[1,3,1]]...
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- Examine the consistency of the system of equations : x+3y=5, 2x+6y=8
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- Disuss the continuity of the function f where f is defined by f(...
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- Prove that the function 'f' given by f (x) = log sin x is strictly in...
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- Form the differential equation of the family of circles touching the y...
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- Find gof and fog, if f(x) = |x| and g(x) = |5x -2|
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- Prove that tan^(-1)""(2)/(11)+tan^(-1)""(7)/(24)=tan^(-1)""(1)/(2).
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