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EXERCISE 5.1
Obtain the equation of the circles with radius 5 cm and touching x-axis at the origin in
Find the equation of the circle with centre (2,-1) and passing through the point
form.
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Step-by-step explanation:
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Given a circle of radius r=5
Given center lies on x-axis.
So, let the center be (h,0)
Equation of circle is
(x−h)2+y2=25 ....(1)
Since, it passes through (2,3)
⇒(2−h)2+32=25
⇒(2−h)2=16
⇒2−h=±4
⇒h=−2,h=6
When h=−2, the equation of circle is
(x+2)2+y2=25
⇒x2+4x+4+y2=25
⇒x2+y2+4x−21=0
When h=6, the equation of circle is
(x−6)2+y2=25
⇒x2−12x+36+y2=25
⇒x2+y2−12x+11=0
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