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Find the equation of tangents to the hyp...

Find the equation of tangents to the hyperbola `x^2-9y^2=9` that are drawn from `(3,2)`

Text Solution

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Equation of given hyperbola,
`x^2-9y^2 = 9`
`=>x^2/9-y^2/1 = 1`
Now, equation of tangents can be given as,
`y = mx+-c`
Here, `c = +-sqrt(a^2m^2-b^2) = +-sqrt(9m^2-1)`
So, equation of tangents,
`y = mx+-sqrt(9m^2-1)->(1)`
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