Question

Two circles each of radius 5 units touch each other at the point (1, 2). If the equation of their common tangent is 4x + 3y = 10, and C₁(α,β) and C₂(γ,δ),C₁ ≠ C₂ are their centres, then |(α+β) (γ+δ)| is equal to_____.

Answer 1

Slope of line joining centres of circles = \(\frac{4}{3}\) = tanθ