Question

A line represented by x+y=5 intersects the y-axis at (0,5) and the x-axis at (5,0). The point also lies on the same line

• A. (3,2)
• B. (3,4)
• C. (4,3)
• D. (4,2)

Answer 1

The correct option is A (3,2)

Since,
$5+0=5$
$0+5=5$
The equation $x+y=5$ satisfies the points (5,0) and (0,5). All we have to do now is find the point that satisfies the given equation.


(4,3) does not satisfy the given equation since, $4+3=7$.
(4,2) does not satisfy the given equation since, $4+2=6$.
(3,4) does not satisfy the given equation since, $3+4=7$.
(3,2) satisfies the given equation since, $3+2=5$ and hence, it lies on the given line.