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 Free
Topic: Circle·Practice all Circle questions

More Circle Questions

Let $A = \begin{bmatrix} 1 & 2 & 7 \\ 4 & - 2 & 8 \\ 3 & 8 & - 7 \end{bmatrix}$ and $det(A - \al...A circle is inscribed in an equilateral triangle of side 6. Find the area of any square inscribed in the circle -...If latus rectum of an ellipse = 1 {0 < b < 4}, subtend angle 2θ at farthest vertex such that cosec θ = &...Equation of line passing through mid point of intercepts made by circle x2 + y2 _ 4x _ 6y = 0 on co-ordinate axes is...A point on the line x = 3 from which tangent drawn to the circle x2 + y2 = 8 are at right angles -...