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If I is incentre of the triangle ABC, P(...

If I is incentre of the triangle `ABC, P_(1),P_(2),P_(3)` are radii of circum circles of `Delta^("le") IBC, ICA, IAB` respectively

A

`2P_(1)=a secA//2`

B

`2P_(2)=b secB//2`

C

`2P_(3)=c secC//2`

D

`P_(1)P_(2)P_(3)=2R^(2)r`

Text Solution

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abcd
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Knowledge Check

  • If I is the incentre of DeltaABCandP_(1),P_(2),P_(3) are respectively the radii of the circumcircles of the DeltaIBC,DeltaICAandDeltaIAB , then P_(1)P_(2)P_(3)=

    A
    2Rr
    B
    `2Rr^(2)`
    C
    `2R^(2)r`
    D
    `(4R)/r`

  • The internal angular bisectors of angles of a Delta^("le") ABC meets circum circle of Delta^("le") ABC at D,E,F respectively then ("Area of " Delta^("le") ABC)/("Area of " Delta^("le") DEF) =

    A
    `r/R`
    B
    `(2r)/R`
    C
    `(3r)/R`
    D
    `(4r)/R`

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    A
    0
    B
    `(1)/(2)`
    C
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