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I am not getting any idea . Can anybody provide me a hint

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HINT:

$$x^2+y^2+8x+8y+16+\lambda(x+y+12)=0$$ represents the equation of the circle passing through the intersections$A,B$ of $$x+y+12=0$$ and $$x^2+y^2+8x+8y+16=0$$

  • 0
    Now finding the points is getting very complicated – 2017-02-19
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    For the circle $$(x+4)^2+(y+4)^2=4^2,$$ any point can be written as $$(-4+4\cos t,-4+4\sin t)$$ can you find the two values of $t?$ – 2017-02-19
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    I got t=$\pi $ and $3\pi/2$ . Now how to find the equation of circle – 2017-02-19
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    @user123733, Now when $y=mx$ be a tangent of $$x^2+y^2+8x+8y+16+\lambda(x+y+12)=0?$$ – 2017-02-19