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In triangle ABC, line joining the circum...

In triangle ABC, line joining the circumcenter and orthocenter is parallel to side AC, then the value of tan A tan C is equal to

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`CE=RcosB`
`OF=2RcosAcosC`
`RcosB=2RcosAcosC`
`-cos(A+B)=2cosAcosC`
`-(cosAcosC-sinAsinC)=2cosAcosC`
`sinAsinC=3cosAcosC`
`tanAtanC=3`.
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