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Prove that the area in the first quadran...

Prove that the area in the first quadrant enclosed by the axis, the line `x=sqrt(3)y` and the circle `x^2+y^2=4\ i s\ pi//3.`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the vector equation of the plane passing through the points (2,...

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  2. Evaluate the following int0^(3/2)|xcospix\ |\ dxdot

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  3. Prove that the area in the first quadrant enclosed by the axis, the ...

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  4. Show that the altitude of the right circular cone of maximum volume ...

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  5. Solve for x: tan^(-1)3x+tan^(-1)2x=pi/4

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  6. Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13))+sin^(-1)((16)/(65))=pi/2

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  7. If vecalpha=3 hat i+4 hat j+5 hat k and vecbeta=2 hat i+ hat j-\ 4 h...

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  8. Evaluate : int(cosx)/((2+sinx)\ (3+4sinx) dx

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  9. If [[1,2],[3,4]] [[3,1],[2,5]]=[[7,11],[k,23]], then write the value o...

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  10. Find the particular solution of the differential equation. (dy)/(dx...

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  11. Show that f\ : NvecN ,\ given by f(x)={x+1, if\ x\ i s\ od d \ \ x-...

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  12. Evaluate : int(logx)/x\ dxdot

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  13. What is the value of the determinant |(0,2,0),(2,3,4),(4,5,6)|?

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  14. What is the degree of the following differential equation? 5x\ ((d...

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  15. What is the range of the function f(x)=(|x-1|)/((x-1))?

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  16. If A=[[cos alpha,-sin alpha],[sin alpha,cos alpha]], then for what val...

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  17. What is the principal value of sin^(-1)(-(sqrt(3))/2)\ ?

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  18. Find the equation of the plane through the points (2, 1, 1) and (1, ...

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  19. Find the shortest distance between the following lines: (x+1)/7=(y+1)...

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  20. A cottage industry manufactures pedestal lamps and wooden shades, e...

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