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
Find the locus of mid point of chords of circle x2 + y2 = 25 which subtends right angle at origin-...The centre of the circle passing through (0, 0) and (1, 0) and touching the circle x2 + y2 = 9 is...Equation of line passing through mid point of intercepts made by circle x2 + y2 _ 4x _ 6y = 0 on co-ordinate axes is...The equation of the chord of contact of the circle x2 + y2 + 4x + 6y − 12 = 0 with respect to the point (2, −...A pair of tangents are drawn from the origin to the circle x2 + y2 + 20(x + y) + 20 = 0. The equation of the pair of tan...