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JMD PUBLICATION-SOLVED SAMPLE QUESTION PAPERS-EXAMPLE
- If f(x)=[[cos x,-sin x,0],[sin x,cos x,0],[0,0,1]] , show that f(x).f(...
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- The slope of the curve 2y^2-ax^2=b at (1,-1) is -1 find a and b.
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- integrate int (cos2x-cos2alpha)/(cosx-cosalpha) dx
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- solve 'int0^(π/4)sqrt(1+sin2xdx)'
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- find the area of the region bounded by 'y^2=4x' and x=2
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- Find lambda so that the scalar projection of veca=lambdahati+hatj+4hat...
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- Find unit vector in the direction of veca+vecb, where veca=-hati+hatj+...
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- Prove that : tan^-1[(sqrt(1+x^2) - sqrt(1-x^2))/(sqrt1+x^2 + sqrt(1-x^...
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- If x^y+y^x= (x+y)^(x+y), then prove that dy/dx= ((x+y)^(x+y) [1+log(x+...
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- If y= [Log(x+sqrt(x^2+1))]^2 then show that (x^2+1)y2+xy1=0
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- Evaluate intdx/(sinx-sin2x)
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- Solve (3xy+y^2)dx+(x^2+xy)dy=0, y(1)=1
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- solve the differential equation: dy/dx=tan(x+y)
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- A car manufacturing factory has to plant s X and Y. Plan X manufacture...
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- Solve the following system of linear equations by matrix method: x - y...
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- If A= [[1,2,2,],[2,1,2,],[2,2,1,]] then verify A^-1A=I
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- Find the shortest distance (S.D.) between the lines : vec r = hat i + ...
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- Find the equation of the perpendicular drawn from the point (2,4,-1) t...
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- Maximise z=20x+15y subject to constraints 120x +60yle12000,x+yle150
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- Maximise z=x+y subject to 2x+yle50, x+2y=40
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