CircleEasy
Question
Equation of line passing through mid point of intercepts made by circle x2 + y2 _ 4x _ 6y = 0 on
co-ordinate axes is
Options
A. 3x + 2y _ 12 = 0
B. 3x + y _ 6 = 0
C. 3x + 4y _ 12 = 0
D. 3x + 2y _ 6 = 0
Solution
given circle
x2 + y2 _ 4x _ 6y = 0
it cuts x-axis put y = 0, x = 0, 4
it cuts y-axis put x = 0, y = 0, 6
Hence mid points on x-axis (2, 0)
on y-axis (0, 3)
Equations of line 
= 1 Þ 3x + 2y _ 6 = 0
Create a free account to view solution
View Solution FreeMore Circle Questions
If x - 2y + k = 0 is a common tangent to y2 = 4x & = 1 (a > √3), then the value of a, k and other common tangen...The circle x2 + y2 - 2 x - 3 k y - 2 = 0 passes through two fixed points, (k is the parameter)...Length of the common chord of the circles x2 + y2 + 5x + 7y + 9 = 0 and x2 + y2 + 7x + 5y + 9 = 0 is-...Find the co-ordinates of a point p on line x + y = _ 13, nearest to the circle x2 + y2 + 4x + 6y _ 5 = 0...The locus of a point which moves such that the tangents from it to the two circle x2 + y2 − 5x − 3 = 0 and 3...