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Show that the points (a+5,a+4), (a-2,a+3...

Show that the points `(a+5,a+4)`, `(a-2,a+3)` and `(a,a)` do not lie on a straight line for any value of a.

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JMD PUBLICATION-SOLVED SAMPLE QUESTION PAPERS-EXAMPLE
  1. State whether it is true or false:If a line makes angles alpha, beta, ...

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  2. State whether it is true or false:If A and B are dependent events then...

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  3. Show that the points (a+5,a+4), (a-2,a+3) and (a,a) do not lie on a st...

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  4. 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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  5. The slope of the curve 2y^2-ax^2=b at (1,-1) is -1 find a and b.

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  6. integrate int (cos2x-cos2alpha)/(cosx-cosalpha) dx

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  7. solve 'int0^(π/4)sqrt(1+sin2xdx)'

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  8. find the area of the region bounded by 'y^2=4x' and x=2

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  9. Find lambda so that the scalar projection of veca=lambdahati+hatj+4hat...

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  10. Find unit vector in the direction of veca+vecb, where veca=-hati+hatj+...

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  11. Prove that : tan^-1[(sqrt(1+x^2) - sqrt(1-x^2))/(sqrt1+x^2 + sqrt(1-x^...

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  12. 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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  13. If y= [Log(x+sqrt(x^2+1))]^2 then show that (x^2+1)y2+xy1=0

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  14. Evaluate intdx/(sinx-sin2x)

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  15. Solve (3xy+y^2)dx+(x^2+xy)dy=0, y(1)=1

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  16. solve the differential equation: dy/dx=tan(x+y)

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  17. A car manufacturing factory has to plant s X and Y. Plan X manufacture...

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  18. Solve the following system of linear equations by matrix method: x - y...

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  19. If A= [[1,2,2,],[2,1,2,],[2,2,1,]] then verify A^-1A=I

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  20. Find the shortest distance (S.D.) between the lines : vec r = hat i + ...

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