Question

if the point (x,4) lies on a cirlcle whose center is at the orgin and the radius is 5, find the value of x​

Answer 1

Answer:

Either x = 3 or x = -3.

Hope this helps!

Step-by-step explanation:

The equation for the circle with radius 5 and centred at the origin is

x² + y² = 5²   =>   x² + y² = 25

So:

(x,4) lies on the circle

<=>  x² + 4² = 25

<=> x² = 25 - 4² = 25 - 16 = 9

<=> x = ±3