The value of x for both the circles is 9 and 5 .
What are Tangents ?
A tangent for a circle is defined as a straight line which touches the circle at just one point.
The tangent is perpendicular to the radius of the circle at the point of where tangent touches the circle.
It is given in the question to find the value of x
When two tangents meet at a point C , the distance between the point of tangency and the point C is equal for both the tangent.
Therefore for the given circle
For first circle to solve for x , we will equate the two distances
4x + 3 = 3x +12
x +3 = 12
x = 9
-2 + x = 2x -7
-2 - x = -7
-x = -5
x = 5
Therefore the value of x for both the circles is 9 and 5 .
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