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If x and y are connected parametrically ...

If x and y are connected parametrically by the equations given, without eliminating the parameter, Find `(dy)/(dx)`.
`x=asectheta, y=btantheta`

Text Solution

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`x=asecθ,y=btanθ`
`⇒ dx/(dθ)=a. d/(dθ)secθ=asecθtanθ`
`dy/(dθ)=b.d/ (dθ)tanθ=bsec ^2θ`
`∴ dy/dx = ( dy/(dθ)// ​ (dx)/(dθ) ...
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