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Solve for x :tan^(-1)((1-x)/(1+x))=1/2ta...

Solve for `x :tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x ,x >0`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the vector and cartesian equations of the plane passing through t...

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  2. Solve the differential equation (dy)/(dx)-3ycotx=sin2x given y=2 when ...

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  3. Solve for x :tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x ,x >0

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  4. Prove that 2tan^(-1)(1/2)+tan^(-1)(1/7)=sin^(-1)((31)/(25sqrt(2)))

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  5. Find : int0^(1/(sqrt(2)))(sin^(-1)x)/((1-x^2)^(3/2))dx

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

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

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  8. Find the area enclosed by the parabola 4y=3x^2 and the line 2y=3x+12.

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

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

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

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

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

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

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

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

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  18. Evaluate: int[x+2]/[2x^2+6x+5]dx

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  19. Write the order of the differential equation 1+((dy)/(dx))^2=7\ ((d^2y...

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

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