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ARIHANT PUBLICATION-SAMPLE PAPER 4-Short Answer Type Questions
- Solve graphically: Maximize Z=5x+6y subject to 2x+3yle6,x, yge0
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- Directions (Q. Nos. 16-25) Prove the following "sin"^(-1)(5/(13))+"c...
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- If functions f and g are given by f = {(1, 2), (3, 5), (4, 6)} and ...
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- Show that the relation R in the set of real numbers, defined as R = {(...
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- Solve tan^(-1) sqrt( x^(2) + x) + sin^(-1) sqrt( x^(2) + x + 1) = sin^...
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- Using properties of determinants, prove the following abs{:(a^2, bc, a...
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- Solve the matrix [{:(x,-5,-1):}][{:(1,0,2),(0,2,1),(2,0,3):}][{:(x),(4...
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- A coin is tossed once, if it shows head it is tossed again. but if it ...
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- If A = [(1,3),(1,4),(1,3)], then verify that A (adj A) = |A|.
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- If A and B are two independent events such that P(barAcapB)=2/15 and P...
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- Show that y = log (1+ x) - (2x) /( 2+x) , x gt -1 is an increasing fun...
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- Show that the function f(x)={{:((sinx)/(x)+cosx", if "x!=0),(2", ...
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- If y sqrt( 1 - x^(2) ) + x sqrt ( 1 - y^(2) ) = 1, prove that (dy)/( d...
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- Prove that the curves y^(2) = 4ax and xy = c^(2) cut at the right angl...
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- Using differential find the approximate value of sqrt(0.0037).
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- Solve the differential equation (x^(2) - y^(2) ) dx + 2xy dy =0.
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- Find the area of region included between the parabola 4y = 3x^(2) and ...
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- Evaluate int(0)^(pi//3) (sec x . tanx )/( 1+ sec^(2) x) dx.
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- Find int ( dx)/( (x-1) (x +1))
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- Form the differential equation representing the family of ellipses hav...
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