Mathematics

Mathematics

Problem

If the straight line ax+by=2ax + by = 2 ; a,b≠0a, b \neq 0 touches the circle x2+y2−2x=3x^2 + y^2 - 2x = 3 and is normal to the circle x2+y2−4y=6x^2 + y^2 - 4y = 6 , then the values of aa and bb are respectively (A) 1, -1 (B) 1, 2 (C) −43-\frac{4}{3} , 1 (D) 2, 1

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