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OMEGA PUBLICATION-SAMPLE QUESTION PAPER -QUESTIONS
- Find the rate of change of the area of a circle per second with respec...
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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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- Write the value of: (hat i . (hat j xx hat k) + hat j (hat i xx hat k...
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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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- Discuss the continuity of the function f(x) = {{:(3"," , "if " 0 le x ...
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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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- Express tan^(-1)((cosx)/(1-sinx)),-(pi)/(2)ltxlt(pi)/(2) in the simple...
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- By using properties of determinants, show that : |[1,1,1],[a,b,c],[a^...
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- Differentiate x^(sin x) + (sin x)^(cos x) w.r.t.x.
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- y = 5 cos x - 3 sin x, prove that (d^2 y)/(dx^2) + y = 0
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- Evaluate int ( 5 x)/( x + 1( x^(2) + 9)) dx
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- Evaluate int(0)^(4)|x-1|dx.
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