The equation of the chord of the circle x2+y2−3x−4y−4=0 which passes through the origin such that the origin divides it in the ratio 4 : 1, is

# The equation of the chord of the circle ${\mathrm{x}}^{2}+{\mathrm{y}}^{2}-3\mathrm{x}-4\mathrm{y}-4=0$ which passes through the origin such that the origin divides it in the ratio 4 : 1, is

1. A

x = 0

2. B

$24\mathrm{x}+7\mathrm{y}=0$

3. C

$7\mathrm{x}+24\mathrm{y}=0$

4. D

$7\mathrm{x}-24\mathrm{y}=0$

Register to Get Free Mock Test and Study Material

+91

Live ClassesRecorded ClassesTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

Let y = mx be a chord.
Then the points of intersections are given by

Since (0, 0) divides chord in the ratio 1 : 4, we have

Therefore, the lines are y= 0 and 7y + 24 x = 0.

## Related content

 Distance Speed Time Formula Refractive Index Formula Mass Formula Electric Current Formula Ohm’s Law Formula Wavelength Formula Electric Power Formula Resistivity Formula Weight Formula Linear Momentum Formula  