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OMEGA PUBLICATION-SAMPLE QUESTION PAPER -QUESTIONS
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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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- 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) [(cos x)/( 1 - sin x)] x - (pi)/(2) lt x lt (pi)/(2)...
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- using properties of determinates, prove that : |(1,1,1),(a,b,c),(a^(3...
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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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