Question

Find the coordinates of the line $A^{/}{B}^{/}$ which is the image of the line $AB$. The line of reflection is given by $x=y$.

• A. $A^{/}=(1,-3)$
  $B^{/}=(2,-1)$
• B. $A^{/}=(2,-1)$
  $B^{/}=(1,-3)$
• C. $A^{/}=(-3,1)$
  $B^{/}=(-1,2)$

Answer 1

The correct option is B $A^{/}=(2,-1)$

$B^{/}=(1,-3)$
Line of reflection is given by $x=y$

Hence, each abscissa and ordinate points of the line will get interchanged.

• $A=(-1,2)$

$\Rightarrow A^{/}=(2,-1)$

• $B=(-3,1)$

$\Rightarrow B^{/}=(1,-3)$

The line $A^{/}{B}^{/}$ can be depicted in the coordinate plane as