Miike012 said:
The equation for a tangent line to a circle with a radius of √3 is y = ±√3x + c, where c is the y-intercept of the tangent line.
The point of tangency on a circle with a radius of √3 can be found by setting the equation of the tangent line equal to the equation of the circle and solving for the x-coordinate. The y-coordinate can then be found by plugging the x-coordinate into the equation of the circle.
Yes, a circle with a radius of √3 can have two tangent lines, one with a positive slope and one with a negative slope. This is because the tangent line must be perpendicular to the radius of the circle at the point of tangency, and the radius can be drawn in two different directions from the center of the circle.
The radius of a circle does not affect the number of tangent lines it can have. Any circle, regardless of its radius, can have a maximum of two tangent lines.
Yes, a tangent line to a circle with a radius of √3 can be horizontal or vertical. This occurs when the tangent line is parallel to the x-axis or y-axis, respectively, and passes through the point (0, √3) on the circle.
