BITSAT Mathematics Conic Sections Online Test Set A

The lengths of the tangent drawn from any point on the circle 15x² +15y² - 48x + 64y = 0 to the two circles 5x² + 5y² ذ 24x + 32y + 75 = 0 and 5x² + 5y² ذ 48x + 64y + 300 = 0 are in the ratio of