Question

The distance between the points (2,3) and (4,1) is? (a) 2√2 (b) 4 (c) 6√2 (d) 8​

Answer 1

Step-by-step explanation:

$x1 = 2 \: \: \: \: \: \: x2 = 4 \\ y1 = 3 \: \: \: \: \: \: y2 = 1 \\ \\ = \sqrt{( {x2 - x1)}^{2}+ ( {y2 - y1)}^{2} } \\ = \sqrt{( {4 - 2)}^{2} + ( {1 - 3)}^{2} } \\ = \sqrt{ {(2)}^{2} + {( - 2)}^{2} } \\ = \sqrt{4 + 4} .... (- 2 \times - 2 = + 4) \\ = \sqrt{8} \\ = \sqrt{4 \times 2} \\ = 2 \sqrt{2} units$

therefore,

correct answer is : (a) 2√2

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