Find the equation of the circle whose centre is (4,5) and touches the x axis Find the coordinates of - Maths - Straight Lines

Question

Find the equation of the circle whose centre is (4,5) and touches
the x axis Find the coordinates of the points at which the circle
cuts y axis

Aarushi Mishra · Accepted Answer

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5a3a784459d77%20jpg"
style=
"width: 438px; height: 376px;">Radius of the circle a=5 [since it touches x-axis(see fig
)]Equation of circle with center C(4,5) and radius 5(x-4)2+(y-5)2=25x2+y2-8x-10y+16=0Cricle cuts y-axis when x co-ordinate is zeroy2-10y+16=0(y-8)(y-2)=0y=8 or y=2Thus the cricle cuts y-axis at (0,8) and (0,2)

Find the equation of the circle whose centre is (4,5) and touches the x axis .Find the coordinates of the points at which the circle cuts y axis.