How do you find the equations for the normal line to #x^2+y^2=20# through (2,4)?
2 Answers
Apr 23, 2017
Explanation:
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Apr 23, 2017
The equation is
Explanation:
The derivative of this relation is given by
#2x + 2y(dy/dx) = 0#
#2y(dy/dx) = -2x#
#dy/dx= -x/y#
The slope of the tangent line is
#m_"tangent" = -2/4 = -1/2#
Therefore, the slope of the normal line is
#y - 4 = 2(x - 2)#
#y- 4= 2x - 4#
#y = 2x# , as obtained in the other answer
Hopefully this helps!