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OMEGA PUBLICATION-SAMPLE QUESTION PAPER -QUESTIONS
- 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) [(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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- Evlauate int(x+1)sqrt(2x^(2)+3)dx
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- Solve: x^(2)(dy)/(dx) =x^(2) -2y^(2)+xy
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- x(d y)/( dx) + 2 y = x^(2) log x
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- Find lambda if the vectors hat(i) - hat(j) + hat(k) , 3 hat (i) + ...
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- Find the equation of the plane through the intersection of the planes ...
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- One card is drawn at random from a well shuffled deck of 52 cards. If...
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- From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulbs...
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- Let E and F be events with P(E)=3/5, P(F)=3/10 and P (E cap F)=1/5. Ar...
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- Solve the following system of linear equations by matrix method : x - ...
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- A man height 2 metres walks a uniform speed of 5 km/h away from the ...
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