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Let A,B,C be angles of triangles with ve...

Let A,B,C be angles of triangles with vertex `A -= (4,-1)` and internal angular bisectors of angles B and C be `x - 1 = 0` and `x - y - 1 = 0` respectively.
If A,B,C are angles of triangle at vertices A,B,C respectively then `cot ((B)/(2))cot .((C)/(2)) =`

A

2

B

3

C

4

D

6

Text Solution

Verified by Experts

The correct Answer is:
D
Angle between `x -1 =0` and BC is `(B)/(2) rArr tan.(B)/(2) =(1)/(2)`
Angle between `x -y -1 =0` and BC is `(C )/(2) rArr tan.(C )/(2) =(1)/(3)`
`rArr cot.(B)/(2) cot.(C )/(2) =6`
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