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 Free
Topic: Circle·Practice all Circle questions

More Circle Questions

The equation of the tangent to the parabola y2 = 9x which passes through the point (4, 10) is -...Consider a family of circles which are passing through the point (-1, 1) and are tangent to xaxis. If (h, k) are the co-...If θ is the angle subtended at P(x1, y1) by the circle S ≡ x2 + y2 + 2gx + 2fy + c = 0 then -...Which of the following is the equation of a circle?...If the chord y = mx + 1 of the circle x2 + y2 = 1 subtends an angle of measure 45o at the major segment of the circle th...