The equations of the lines that touch the curves and

MATHEMATICS · Multi correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The equations of the lines that touch the curves

y=x|x|

and

x^2+(y-2)^2=4

, where

x\ne0

, are (1)

y=4\sqrt{5}x+20

(2)

y=4\sqrt{3}x-12

(3)

y=0

(4)

y=-4\sqrt{5}x-20