The common chord of the circle x2-y2-4 x-1-0 and x2-y2-6 x-2 y-3-0 isA- 5 x-y-2-0B- x-y-1-0C- 2 x-2 y-5-0D- 3 x-y-3-0

The correct option is B S_1=x^2+y^2+4x+1=0 S_2=x^2+y^2+6x+2y+3=0 Common chord ≡ S_1 S_2=0⇒ 2x+2y+2=0 ⇒ x+y+1=0 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Length of Tangent and Power of a Point

The common ch...

Question

The common chord of the circle $x^{2} + y^{2} + 4 x + 1 = 0$ and $x^{2} + y^{2} + 6 x + 2 y + 3 = 0$ is

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A

$S_{1} = x^{2} + y^{2} + 4 x + 1 = 0$

$S_{2} = x^{2} + y^{2} + 6 x + 2 y + 3 = 0$

Common chord $\equiv S_{1} - S_{2} = 0 \Rightarrow 2 x + 2 y + 2 = 0$

$\Rightarrow x + y + 1 = 0$

Suggest Corrections

Similar questions

Q. The locus of the mid point of the chord of the circle

x^{2} + y^{2} - 2 x - 2 y - 2 = 0

which makes an angle of

120^{0}

at the centre is.

The equation of the diameter of the circle $x^{2} + y^{2} + 2 x - 4 y - 11 = 0$ which bisects the chords intercepted on the line $2 x - y + 3 = 0$ is

Find the equation of circle which touches $2 x - y + 3 = 0$ and pass through the points of intersection of the line $x + 2 y - 1 = 0$ and the circle $x^{2} + y^{2} - 2 x + 1 = 0$

Q. The equation of that diameter of the circle

x^{2} + y^{2} - 6 x + 2 y - 8 = 0

which passes through the origin is

Q. The common chord of the circles

x^{2} + y^{2} + 4 x + 1 = 0

and

x^{2} + y^{2} + 6 x + 2 y + 3 = 0

Join BYJU'S Learning Program

The common chord of the circle x2+y2+4x+1=0 and x2+y2+6x+2y+3=0 is

The correct option is A S1=x2+y2+4x+1=0 S2=x2+y2+6x+2y+3=0 Common chord ≡S1−S2=0⇒2x+2y+2=0 ⇒x+y+1=0

The common chord of the circle $x^{2} + y^{2} + 4 x + 1 = 0$ and $x^{2} + y^{2} + 6 x + 2 y + 3 = 0$ is

The correct option is A

$S_{1} = x^{2} + y^{2} + 4 x + 1 = 0$

$S_{2} = x^{2} + y^{2} + 6 x + 2 y + 3 = 0$

Common chord $\equiv S_{1} - S_{2} = 0 \Rightarrow 2 x + 2 y + 2 = 0$

$\Rightarrow x + y + 1 = 0$