CircleHard
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 point of contact of line 5x + 12y = 9 and hyperbola x2 - 9y2 = 9 will lie on...The intercepts made by the circle x2 + y2 _ 5x _ 13y _ 14 = 0 on the x-axis and y-axis are respectively...For the ellipse 9x2 + 16y2 - 18x + 32y - 119 = 0, which of the following is/are true -...Let the orthocentre and centroid of a triangle be A(-3, 5) and B(3, 3) respectively. If C is the circumcentre of this tr...Pair of tangents are drawn from every point on the line 3x + 4y = 12 on the circle x2 + y2 = 4. Their variable chord of ...