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 = 2
1/2 . pg. 193. Correct answer is E.

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