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Mathematics 1
Mathematics 1 Deneme Sınavı
Mathematics 1 Deneme Sınavı Sorusu #1219630
Mathematics 1 Deneme Sınavı Sorusu #1219630
What is the shortest distance between the point P(0, 2) and the line y = x ?
2 |
2-1/2 |
23/2 |
2-1 |
21/2 |
Yanıt Açıklaması:
22 = (d1)2 + (d2)2 = ((x1)2 + (y1)2)+ ((x1)2 + (2 - y1)2) = ((x1)2 + (x1)2) + ((x1)2 + (2 - x1)2) = (2 (x1)2) + ((x1)2 + 4 – 4 (x1) + (x1)2) = 4 (x1)2 + 4 – 4 (x1) ; 4 (x1)2 – 4 (x1) = 0 ; x1 = 1
y1 = 1 ; d2 = 21/2 . pg. 193. Correct answer is E.
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