Question

Find the value of 'c' if the distance between the point (c, 4) and the origin is 5 units and c > 0.

• A. -3
• B. 3
• C. 4
• D. 5

Answer 1

The correct option is B 3

For the point (c,4)
x - coordinate is c and
y - coordinate is 4
Distance from origin to the point is 5 units.
According to distance formula:
$c^2+16=5^2$,

$\Rightarrow c^2$ = 9.
$\Rightarrow c=\pm 3$
$\because$ c > 0
Therefore, the value of c = +3.