Question

The coordinates of a point $P$ in a system $X^{\prime }OX\leftrightarrow Y^{\prime }OY$ are $(5,8)$. The coordinates of the same point in the system $Y^{\prime }OY\leftrightarrow X^{\prime }OX$ are _________________

• A. $(-8,5)$
• B. $(8,5)$
• C. $(8,-5)$
• D. $(-8,-5)$

Answer 1

The correct option is C $(8,-5)$

Coordinate of P= (5,8) in the system $X^{\prime }OX\leftrightarrow Y^{\prime }OY$

when the system is reversed,

i.e,$Y^{\prime }OY\leftrightarrow X^{\prime }OX$

$\therefore$ When system is transferred the coordinates are $(8,-5)$