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Question

Question: The equation of the circle which touches x-axis and whose centre is (1, 2), is –...

The equation of the circle which touches x-axis and whose centre is (1, 2), is –

A

x2 + y2 – 2x + 4y + 1 = 0

B

x2 + y2 – 2x – 4y + 1 = 0

C

x2 + y2 + 2x + 4y + 1 = 0

D

x2 + y2 + 4x + 2y + 4 = 0

Answer

x2 + y2 – 2x – 4y + 1 = 0

Explanation

Solution

Centre (1, 2) ; radius = 2

equation of circle (x – 1)2 +(y – 2)2 = (2)2

x2+y2–2x – 4y + 1 = 0