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Published on: August 14, 2026
If 4x + 3y - 12 = 0 touches (x - p) 2 + (y - p) 2 = p 2 , then the sum of all the possible values of p is
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7
The distance of the centre (p,p) of the given circle from the line 4x + 3y - 12 = 0 is equal to the radius (|p|)
7p - 12 = 5p or 7p - 12 = -5p
p = 6orp=l
sum of all the possible values of 'p ' = 6 + 1 = 7
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