Find the equation of a cirde passing (2,-1) and concentric with 5x² +5y² - 12x + 12y - 420=0
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Answer:
Concentric means having common centre
Centre of the circle = (6,-6)
Given point = (2,-1)
Radius = distance b/w center and point
== By distance formula
Radius = √41
Equation of circle:
(x-h)² + (y-k)² = r²
(x-6)² + (y+6)² = 41
or x²+y²-12x+12y -41 = 0
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