Question

The equation of circle touches positive y-axis at point (0, 4) and cut the intercept of 6 units on positive x-axis, is
(a) (x-3)² + (y-4)² = 5 (c) (x - 5)² + (y-4)² =25 (b) (x-3)² + (y-4)² = 9 (d) (x - 5)² + (y-4)² = 16​

Answer 1

Step-by-step explanation:

As the circle cuts the x-axis in a chord of length 6 units, so,

AC=CB=3

In ΔAPC, by Pythagoras theorem,

(AP)

2

=(PC)

2

+(AC)

2

r

2

=(4)

2

+(3)

2

r=5

Therefore, the radius of the circle is 5 cm.