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Given that the circles $x^{2} + y^{2} - 2 x + 6 y + 6 = 0$ and $x^{2} + y^{2} - 5 x + 6 y + 15 = 0$ touch, the equation to their common tangent, is

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x=3

y=6

7x−12y−21=0

7x+12y+21=0

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detailed solution

Correct option is A

Using S1−S2=0 WC obtain 3x−9=0 or, x=3 as the equation of the required common tangent

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Given that the circles x2+y2−2x+6y+6=0 and x2+y2−5x+6y+15=0 touch, the equation to their common tangent, is

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Ready to Test Your Skills?

free study material

Given that the circles $x^{2} + y^{2} - 2 x + 6 y + 6 = 0$ and $x^{2} + y^{2} - 5 x + 6 y + 15 = 0$ touch, the equation to their common tangent, is