Question

from distance formula
Ans: x=2
please give solution​

Answer 1

Answer: x = 2 or -46/13Step-by-step explanation:Hi,Given diameter of the circle = 20 unitsRadius of the circle = d/2 = 20/2 = 10 unitsGiven center of a circle is (2x - 1, 3x + 1)Given that circle passes through (-3, -1),So, distance of (-3, -1) from the center of the circle should be equal to radius of the circleHence, √(2x + 2)² + (3x + 2)² = 10Squaring on both sides, we get(2x + 2)² + (3x + 2)² = 10013x² + 20x - 92 = 013x²  -26x + 46x -92 = 013x(x - 2) + 46(x - 2) = 0(13x + 46)(x - 2) = 0Hence, x = 2 or -46/13