Question

The radius of a circle centered at the origin is 5 cm a) Find the co-ordinate of the points at which the circle cut the X-axis? b) Find the coordinate of the points at which the circle cut the Y-axis? c) Write two more points on the circle.​

Answer 1

Answer:

a) x = +5, -5

b) y = +5, -5

c) (1, ±√24) and (2, ±√20)

Step-by-step explanation:

The equation of the circle is

(x - 0)² + (y-0)² = (5)²

x² + y² = 25

For finding where circle cuts x-axis, put y=0

x² + 0 = 25

x = √25 = +5, -5

Similarly for intersection at y-axis, put x = 0

0 + y² = 25

y = √25 = +5, -5

For finding two more points on the circle substitute any value of x and y between -5 and 5

For x = 1 , y = +√24, -√24

For x = 2, y = +√20, -√20