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In a /\ABC if a^(2)-b^(2)-c^(2)+(x-2)bc=...

In a `/_\ABC` if `a^(2)-b^(2)-c^(2)+(x-2)bc=0` then `x` be equal to

A

`1/2`

B

`3/2`

C

`2`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
`:' a^(2)-(b+c)^(2)+xbc=0`
`:.x=((a-b-c)(a+b+c))/(bc)`
`=(4s(s-a))/(bc)=4"cos"^(2) A/2 epsilon(0,4)`
`:'0ltAltpi`
`implies0 lt A/2lt (pi)/2`
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