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If y=(sin^(-1)\ x)/(sqrt(1-x^2)) , show ...

If `y=(sin^(-1)\ x)/(sqrt(1-x^2))` , show that `(1-x^2)` `(d^2\ y)/(dx^2)-\ 3x\ (dy)/(dx)-\ y=0`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
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  2. An urn contains 4 white and 3 red balls. Let X be the number of red ba...

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  3. If y=(sin^(-1)\ x)/(sqrt(1-x^2)) , show that (1-x^2) (d^2\ y)/(dx^2)-...

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  5. On a multiple choice examination with three possible answers (out o...

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

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  9. Solve the following differential equation: x(dy)/(dx)=y-xtan(y/x)

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  10. Find the distance of the point P(6,5,9) from the plane determined b...

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  14. If y=cos^(-1)((3x+4\ sqrt(1-x^2))/5), find(dy)/(dx)

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  15. Evaluate the following: int1^2(5x^2)/(x^2+4x+3)\ dx

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  16. If y=e^(asin^(-1)x)\ ,\ -1\ lt=x\ lt=1, then show that (1-x^2)\ (d^...

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  17. Find the coordinates of the foot of the perpendicular and the perpen...

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  18. A bag contains 4 balls. Two balls are drawn at random, and are foun...

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  19. One kind of cake requires 300g of flour and 15g of fat, another kin...

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