1.

If (x_(1)-x_(2))^(2) + (y_(1)-y_(2))^(2) =a^(2), (x_(2)-x_(3))^(2) + (y_(2)-y_(3))^(2) = b^(2), (x_(3)-x_(1))^(2)(y_(3)-y_(1))^(2) =c^(2) and |{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}|^(2) = (a+b+c)(b+c-a)(c+a-b)(a+b-c) then the value of lambda is:

Answer»


Solution :`lambda|{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}|=(a+b+c)(b+c-a)(c+a-b)(a+b-c)`
`rArr 4LAMBDA Delta^(2) = 16 s(s-a) (s-b)(s-c)`
`rArr 4lambda Delta^(2) = 16 Delta^(2)`
`rArr 4lambda = 16 rArr lambda =4`


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