1.

Let ABC be an acute angled triangle with orthocenter H. D, E, and F are the feet of perpendicular from A, B, and C, respectively, on opposite sides. Also, let R be the circumradius respectively, on opposite sides. Also, let R be the circumradius of DeltABC. Given AH.CH=3 and (AH)^(2)+(BH)^(2)+(CH)^(2)=7. then answer the following : Value of (cosA. cosB cosC)/(cos^(2)A+cos^(2)B+cos^(2)C) is

Answer»

`(3)/(14R)`
`(3)/(7R)`
`(7)/(3R)`
`(14)/(3R)`

ANSWER :A


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