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Solve the following differential equatio...

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

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Solve for x: - tan^(-1)("x"+1)+tan^(-1)("x"-1)=tan^(-1) (8/31)

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Show that of all the rectangles inscribed in a given fixed circle, ...

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  16. Find a unit vector in the direction of vec a=3 hat i-2 hat j+6 hat...

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  17. Find the angle between the vectors vec a= hat i- hat j+\ hat k\ a...

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  18. If A=[(1, 2, 2),( 2, 1, 2), (2, 2, 1)], verify that A^2-4A-5I=0

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  19. A pair of dice is thrown 4 times. If getting a doublet is considered a...

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  20. Using properties of determinants, prove the following: \begin{vmatr...

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