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Find the areas of the region {x , y}: y^...

Find the areas of the region `{x , y}: y^2lt=4x ,4x^2+4y^2lt=9},` using integration.

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find : int0^(1/(sqrt(2)))(sin^(-1)x)/((1-x^2)^(3/2))dxdot

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  2. Find : intx/((x^2+1)(x-1))dx

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  3. Find the areas of the region {x , y}: y^2lt=4x ,4x^2+4y^2lt=9}, using ...

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  4. Find the area enclosed by the parabola 4y=3x^2 and the line2y = 3x + ...

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  5. Find the projection of the vector vec a=2 hat i+3 hat j+2 hat k on th...

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  6. If y=A e^(m x)+B e^(n x), show that (d^2y)/(dx^2)-((m+n)dy)/(dx)+m n y...

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  7. Find : int(x+3)/(sqrt(5-4x-2x^2))dx

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  8. Find the shortest distance between the following lines: vec r=2 hat i...

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  9. For what value of lambda the function defined by f(x)={lambda(x^2+2),i...

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  10. If x=a e^t(sint+cost) and y=a e^t(sint-cost), prove that (dy)/(dx)=(x+...

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  11. Evaluate : int0^(pi/4)log(1+tanx)dxdot

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  12. Find : intx/((x-1)^2(x+2))dx

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  13. A point on the hypotenuse of a right triangle is at distances a and b ...

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  14. int[x+2]/[2x^2+6x+5].dx

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  15. Write the sum of the order and degree of the differential equation 1+...

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  16. Two schools A and B decided to award prizes to their students for thre...

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  17. If A=(1 2 3-1)a n dB=(1 3-1 1), write the value of |A B| .

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  18. Write the differential equation obtained by eliminating the arbitrary ...

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  19. If vec a and vec b are unit Vectors, then what is the angle betwe...

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  20. If a line makes angles alpha,beta,gamma with the positive direction of...

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