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Let `A=[(l,m,n),(p,q,r),(1,1,1)]` and `B=A^(2)`. If `(l-m)^(2)+(p-q)^(2)=9, (m-n)^(2)+(q-r)^(2)=16, (n-l)^(2)+(r-p)^(2)=25`, then the value of `|det(B)-140|` is_______ |
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Answer» Correct Answer - 4 `det(A)` is twice of area of triangle with vertices `(l,p), (m,q),(n,r)` with sides 3, 4,5 `Delta^(2)=s(s-a)(s-b)(s-c)` `impliesDelta^(2)=6xx3xx2xx1` `impliesDelta=6` Now `det(A)=12` `impliesdet(B)=144` |
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