Consider the equation of circles S₁ : x² + y² + 24x - 10

Last updated: 7/20/2022

Consider the equation of circles S₁ : x² + y² + 24x - 10y + a = 0 S₂: x² + y² = 36 Which of the following is not correct. (1) Number of non-negative integral values of 'a' such that S₁ = 0 represents a real circle 170 (2) If S₁ 0 and S₂ = 0 has no point in common then number of integral values of a is more than 49 (3) If S, = 0 and S₂ = 0 intersect orthogonally then a = 36 (4) If a = 0 then number of common tangents to the circles S₁ = 0 and S₂ = 0 are 3.