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Find the area of that part of the circle `"x"^2+" y"^2=16` which is exterior to the parabola `"y"^2=6"x"dot`

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Find the area of the circle x^2+y^2=16 which is exterior to the parabola y^2=6x by using integration.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the equation of the line passing through the point "P"(4,6,2) ...

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  2. Evaluate: int0^pi(xtanx)/(secx+tanx)\ dx

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  3. Find the area of that part of the circle "x"^2+" y"^2=16 which is ex...

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  4. A man is known to speak truth 3 out of 4 times. He throws a die and...

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  5. An aeroplane can carry a maximum of 200 passengers. A profit of Rs. 80...

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  6. Prove that tan(pi/4+1/2 cos^-1(a/b))+tan(pi/4-1/2 cos^-1(a/b))=(2b)/a

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  7. Solve for x: - tan^(-1)("x"+1)+tan^(-1)("x"-1)=tan^(-1) (8/31)

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  8. Let A=[(3,2,5),(4,1,3),(0,6,7)] Express A as sum of two matrices such ...

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  9. Solve the following differential equation: cos^2\ x(dy)/(dx)+y=tan\ x

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  10. Prove the following: tan^(-1)\ 1/3+tan^(-1)\ 1/5+tan^(-1)\ \ 1/7+tan...

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  11. For what value lambda are the vectors vec a=2 hat i+\ lambda hat j...

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  12. Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx

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  13. Find the equation of tangent to the curve x=sin3t , y=cos2t\ \ at t=p...

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  14. Differentiate the following with respect to x\ :tan^(-1)\ ((sqrt(1+x)\...

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  15. For what value of k is the following function continuous at x=2? f(...

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  16. If vec a+ vec b+ vec c=0 and | vec a|=3,\ | vec b|=5 and | vec c|=7 ...

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  17. If vec a= hat i+ hat j+ hat k\ a n d vec b= hat j- hat k , find a ...

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  18. Solve the following differential equation: (x^2-y^2)dx+2x y\ dy=0 gi...

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  19. Solve the following differential equation: (dy)/(dx)=(x\ (2y-x))/(x\ (...

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  20. Show that the height of the cylinder of maximum volume that can be ...

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