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- If [[e^x,e^y],[e^y,e^x]] = [[1,1],[1,1]] then (x,y) =
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- If A = [[2x,5],[6,3]] is singular then x^2 =
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- d/dx{tan^-1((x+a)/(1-ax))} =
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- Slope of normal to the line 2x-3y+4=0 is
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- intxsinx^2dx=
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- The diff. equation of x^2-y^2=r^2 is .
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- If E and F are inedependent events associated with an experiment then ...
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- cot^-1(-x) = pi - cot^-1x , x in R
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- If absA = 2, absB = 5 then abs(AB) = 10
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- The derivative of sinsqrtx w.r.t. sqrtx is cossqrtx
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- int(-pi/2)^(pi/2)sinxdx = 0
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- The number of arbitrary constants in the particular solution of a diff...
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- Prove that : (vecaxxvecb)^2=|\veca|^2.|\vecb|^2-(veca.vecb)^2.
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- The shortest destance between vecr = veca1 + lambdavecb and vecr = vec...
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- If P(A) = 1/2, P(B) = 7/12 and P(not A or not B) = 1/4, then A and B a...
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- Find x, y and z if [[x,+,y,,2],[5,+,z,,xy]]=[[6,2],[5,8]]
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- If A= [[cos alpha, -sin alpha],[sin alpha, cos alpha]] , then A + A'= ...
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- Prove that the tangents to the curve y = x^2-7x+12 at (3,0) and (4,0) ...
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- Integrate int(sin2x)/(a^2sin^2x+b^2cos^2x)dx
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- solve int-2^3abs(x-1)dx.
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