Question

Find if the following points lie on the given line or not:
(ii) $(5,3)$ on the line $3x–5y+5=0$

Answer 1

NO
Step: Put $(5,3)$ in the equation of line​ ​
Given Point: $(5,3)$
Line: $3x-5y+5=0$

put $x=5$ and $y=3$ in the given line equation,

$L.H.S.$
$=3x-5y+5$
$=3\left(5\right)-5\left(3\right)+5$
$=15-15+5$
$=5$

$R.H.S=0$

$\therefore L.H.S.\ne R.H.S.$

Hence the point $(5,3)$ does not lie on the line $3x-5y+5=0$