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If y=(t a n^(-1)\ x)^2 , show that (x^2+...

If `y=(t a n^(-1)\ x)^2` , show that `(x^2+1)^2(d^2\ y)/(dx^2)+2x(x^2+1)(dy)/(dx)=2.`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
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  2. Using properties of determinants, prove the following |(a^2,ab,ac),(ab...

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  14. Evaluate : int(e^x)/(sqrt(5-4e^x-\ e^(2x)))\ dx

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  16. If x^y=e^(x-y), show that (dy)/(dx)=(logx)/({log(x e)}^2)

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  17. Obtain the inverse of the following matrix, using elementary operation...

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  18. Using matrices, solve the following system of equations: x+y+z=6; x...

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  19. Find the value of p , if (2 hat i+6 hat j+27 hat k) x ( hat i+3 hat j+...

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