Question

A square paper is kept on cartesian plane coinciding the points $(2,0),(4,0),(0,2)$. Find the length of the diagonal of the paper.

• A. $4\sqrt{2}$ units
• B. $4$ units
• C. $2\sqrt{2}$ units
• D. None of these

Answer 1

The correct option is C $2\sqrt{2}$ units

Given points $A(2,0),B(4,0),C(0,2)$

diagonal AC(by distance formula)

$AC=\sqrt{(2{)}^2+2^2}$

$AC=\sqrt{8}$

$AC=2\sqrt{2}units$