CircleEasy
Question
The circle described on the line joining the points (0, 1), (a, b) as diameter cuts the x-axis in points whose abscissa are roots of the equation:
Options
A. x² + ax + b = 0
B.
x² - ax + b = 0
C.
x² + ax
- b = 0
D. x²
- ax - b = 0
Solution
Equation of circle (x _ 0) (x _ a) + (y _ 1)(y _ b) = 0
it cuts x-axis put y = 0 Þ x2 _ ax + b = 0
Create a free account to view solution
View Solution FreeMore Circle Questions
The circle described on the line joining the points (0, 1), (a, b) as diameter cuts the x-axis in points whose abscissa ...In the $xy$-plane, the length of the shortest path from $(0,0)$ to $(12,16)$ that does not go inside the circle $(x - 6)...Six boy and six girls sit along a line alternatively with probability P1 and along a circle (again alternatively) with p...The equation of the circle which touches both the axes and the line + = 1 and lies in the first quadrant is (x _ c)2 + (...The intercepts made by the circle x2 + y2 _ 5x _ 13y _ 14 = 0 on the x-axis and y-axis are respectively...