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Home › TS EAMCET › Mathematics › Coordinate Geometry: System of Circles › x² + y² = 1 and x² + y² - 6x + 5 = 0 meet how?

x² + y² = 1 and x² + y² - 6x + 5 = 0 meet how?

ACut at two points
BTouch externally
CAre concentric
DTouch internally
Answer & Solution
Correct answer: B. Touch externally
Subtracting gives x = 1. The centres are (0, 0) and (3, 0) with radii 1 and 2, and the centre distance 3 equals 1 + 2, so they touch externally at (1, 0).
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