SOLUTION: Which of these is the equation for a line tangent to the circle x^2 + y^2 = 20 at point (2, -4)?
y = ½x + √20
y = 2x – 5
y = 2x + √20
y = ½x – 5
Algebra.Com
Question 1080222: Which of these is the equation for a line tangent to the circle x^2 + y^2 = 20 at point (2, -4)?
y = ½x + √20
y = 2x – 5
y = 2x + √20
y = ½x – 5
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
To find the slope, calculate the derivative at the point.
Using implicit differentiation,
So at (2,-4),
Using the point-slope form of a line,
.
.
.
.
RELATED QUESTIONS
Which of these is the equation for a line tangent to the circle x2 + y2 = 20 at point (2, (answered by josgarithmetic)
the equation of tangent at a point (5,1) to the circle x^2+y^2-2x+4y-20=0 will... (answered by Fombitz)
write an equation of the line tangent to the given circle at the given point.
{{{... (answered by ewatrrr)
A circle defined by the equation(x-6)^2. +(y-9)^2 is tangent to a line at the point... (answered by Alan3354,josgarithmetic)
Determine the equation of a tangent line to the given circle at the given point: (x+4)^2... (answered by ikleyn)
Find the equation of the circle if it is tangent to the line x+y=2 at point (4,-2) and... (answered by MathLover1)
the equation of a tangent line to the curve x^2+y^2=169 at the point (5,-12)... (answered by drk)
Please help me solve this problem:
A circle of radius 1 is centered at the origin and... (answered by KMST)
Write the equation of the line that is tangent to the circle (x – 2)2 + (y – 4)2 = 289,... (answered by MathLover1)