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greengnat878Lv1
6 Nov 2019
Thetangent line to a circle may be defined as the line that intersectsin a single point, called the point of tangency. See thefigure.
If the equation of the circle is x2+y2 =r2 and the equation of the tangent line is y = mx+b,show that:
a) r2 (1+m2) = b2 [Thequadratic equation x2 + (mx + b)2 =r2 has exactly one solution.
b) The point of tangency is (-r2m/b ,r2/b)
c) The tangent line is perpendicular to the line containing thecenter of the circle and the point of tangency.
The tangent line to a circle may be defined as the line that intersects in a single point, called the point of tangency. See the figure. If the equation of the circle is x^2+y^2 = r^2 and the equation of the tangent line is y = mx+b, show that: a) r^2 (1+m^2) = b^2 Show transcribed image text
Thetangent line to a circle may be defined as the line that intersectsin a single point, called the point of tangency. See thefigure.
If the equation of the circle is x2+y2 =r2 and the equation of the tangent line is y = mx+b,show that:
a) r2 (1+m2) = b2 [Thequadratic equation x2 + (mx + b)2 =r2 has exactly one solution.
b) The point of tangency is (-r2m/b ,r2/b)
c) The tangent line is perpendicular to the line containing thecenter of the circle and the point of tangency.
The tangent line to a circle may be defined as the line that intersects in a single point, called the point of tangency. See the figure. If the equation of the circle is x^2+y^2 = r^2 and the equation of the tangent line is y = mx+b, show that: a) r^2 (1+m^2) = b^2
Show transcribed image text Nelly StrackeLv2
20 May 2019