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In the given figure, PT is a tangent and...

In the given figure, PT is a tangent and PAB is a secant. If PT=6 cm and AB=5 cm, then find the length of PA.

Text Solution

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Let `PA = x` cm
As `PT` is the tangent and `PAB` is secant,
`:. PT^2 = PA**PB`
`=>PT^2 = PA**(5+PA)`
`=>6^2 = x(5+x)`
`=>x^2+5x-36 = 0`
`=>x^2+9x-4x-36 = 0`
`=>(x+9)(x-4) = 0`
...
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