CircleHard
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
The equation(s) of the tangent at the point (0, 0) to the circle, making intercepts of length 2a and 2b units on the co-...The equation of circles passing through (3, _6) touching both the axes is...If M is the foot of the perpendicular from a point P of a parabola y2 = 4ax to its directrix and SPM is an equilateral t...The x coordinates of two points A and B are roots of equation x2 + 2x − a2 = 0 and y coordinate are roots of equat...Let AB be a chord of the circle x2 + y2 = r2 subtending a right angle at the centre. Then the locus of the centroid of t...