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ARIHANT PUBLICATION-SAMPLE PAPER 5-Short answer type question
- Find the inverse of the following matrix [{:(1,1,2),(0,1,2),(1,2,1):}]...
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- A bag contains 5 red marbles and 3 black marbles. Three , marbles are ...
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- Using properties of determinants prove that |{:(a^2+2a,2a+1,1),(2a+1...
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- A and B throw a pair of dice alternately. A wins the game, if he gets ...
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- If A=[{:(1,5),(7,12):}] and B=[{:(9,1),(7,8):}], find a matrix C such ...
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- Find the derivative of cos^(-1)((sin x +cos x)/(sqrt(2))),(-pi)/(4)lt ...
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- If x=e^(x//y), prove that (dy)/(dx)=(x-y)/(xlogx).
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- Find the condition that curves 2x = y^(2) and 2xy = k intersect ortho...
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- Evaluate int(1)^(3) (3x^(2) + 2x+1) dx .
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- Examine the differentiability of the function f defined by f(x)={{:(2x...
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- Evaluate intsqrt((1+x)/(1-x))dx, x ne 1
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- Solve the following differential equation x^(2).(dy)/(dx)-xy=1+cos((...
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- Find the area of region enclosed by the curve x=3cost, y=2sint.
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- int0^(pi/2) (sin^2xdx)/(sinx+cosx)
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- Form the differential equation having y= (sin^(-1)x)^(2)+A cos^(-1)x+B...
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- The two vectors hatj+hatk and 3hati+hatj+4hatk represents the two side...
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- If vec(a) = hat(i) + 4hat(j) + 2hat(k), vec(b) = 3hat(i) - 2hat(j) + 7...
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- Find the co-ordinates of the point where the line joining (3,4,-5) and...
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- The vectors from origin to the points A and B are A=2hati-3hatj+2hatk ...
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- For any vector a , show that a=(a*hati)hati+(a*hatj)hatj+(a*hatk)hat...
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