Question

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Answer 1

Answer:

$distance \: = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \\ = \sqrt{ {( sinx - cosx )}^{2} + {( cosx - (- sinx ) )}^{2} } \\ \\ = \sqrt{ { \sin }^{2} x + { \cos}^{2}x -2 sinxcosx + { \sin }^{2} x + { \cos}^{2}x + 2 sinxcosx } \\ \\ = \sqrt{{ 2(\sin }^{2} x + { \cos}^{2}x)} \\ \\ = \sqrt{2}$

Option (B)