What are the equations of the tangent lines out P(2,1) to the parabola with equation #y = x^2#? Thank you!
1 Answer
Jun 11, 2018
Two tangents
#y = 2(2-sqrt 3)x-7+4sqrt3# #y = 2(2+sqrt 3)x-7-4sqrt3#
Explanation:
The tangent to a curve
For
with
For the tangent to go through
So, there are two tangents to the parabola from
- for
#x_0 = 2-sqrt 3# ,#y = 2(2-sqrt 3)x-7+4sqrt3# - for
#x_0 = 2+sqrt 3# ,#y = 2(2+sqrt 3)x-7-4sqrt3#