If a circle pass through (2, 0) and (0, 4) and center at x-axis then find the radius of the circle.(a) 25 units(b) 20 units(c) 5 units(d) 10 unitsI have been asked this question during an interview.Question is taken from Conic Sections in division Conic Sections of Mathematics – Class 11

If a circle pass through (2, 0) and (0, 4) and center at x-axis then f

1.	If a circle pass through (2, 0) and (0, 4) and center at x-axis then find the radius of the circle.(a) 25 units(b) 20 units(c) 5 units(d) 10 unitsI have been asked this question during an interview.Question is taken from Conic Sections in division Conic Sections of Mathematics – Class 11
Answer» Right choice is (c) 5 units Explanation: Equation of circle with center at x-axis (a, 0) and RADIUS R units is (x-a)^2+(y)^2=r^2 =>(2-a)^2+(0)^2=r^2 And (0-a)^2+(4)^2=r^2 =>(a-2)^2=a^2+4^2 => (-2)(2a-2) =16 => a-1=-4 => a=-3 So, r^2 = (2+3)^2=5^2 r=5 units.

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If a circle pass through (2, 0) and (0, 4) and center at x-axis then find the radius of the circle.(a) 25 units(b) 20 units(c) 5 units(d) 10 unitsI have been asked this question during an interview.Question is taken from Conic Sections in division Conic Sections of Mathematics – Class 11

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