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If A(6, –1), B(1, 3) and C(k, 8) are three points such that AB = BC, find the value of k. |
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Answer» We have, A(6−1),B(1,3),C(x,8) ⇒AB =BC 2
⇒(1−6) 2 +(3+1) 2 =(x−1) 2 +(8−3) 2
⇒25+16=(x−1) 2 +25 ⇒(x−1) 2 =16 ⇒x−1=±4 ⇒x=1±4 ⇒x=5,−3 |
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