The number of common tangents to the circles x² + y² – 4x – 6y -12 = 0 and x² + y² + 6x +18y + 26 = 0 is:

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Solution

The correct option is C
3

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Similar questions

Q. The number of common tangents to the circles

x^{2} + y^{2} - 4 x - 6 y - 12 = 0

and

x^{2} + y^{2} + 6 x + 18 y + 26 = 0

Find the Slope of the transverse common tangent to the circles $x^{2} + y^{2} - 4 x + 6 y - 12 = 0$ and $x^{2} + y^{2} + 6 x + 18 y + 26 = 0$

The equation of the common tangent to the circles $x^{2} + y^{2} - 4 x + 6 y - 12 = 0$ and $x^{2} + y^{2} + 6 x + 18 y + 26 = 0$ at their point of contact.

$x^{2} + y^{2} - 4 x + 6 y - 12 = 0$ and $x^{2} + y^{2} + 6 x + 18 y + 26 = 0$ __________.

Q. Show that the circles

x^{2} + y^{2} - 4 x - 6 y - 12 = 0

and

x^{2} + y^{2} + 6 x + 18 y + 26 = 0

touch each other. Also find the point of contact and common tangent at this point of contact.

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The number of common tangents to the circles x2 + y2 – 4x – 6y -12 = 0 and x2 + y2 + 6x +18y + 26 = 0 is:

The correct option is C 3

The number of common tangents to the circles x² + y² – 4x – 6y -12 = 0 and x² + y² + 6x +18y + 26 = 0 is:

The correct option is C
3