morganstacey2108
Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

The line l is tangent to the circle with equation x2 + y2 = 17 at the point P.
Determine the equation of line l.

The Line L Is Tangent To The Circle With Equation X2 Y2 17 At The Point P Determine The Equation Of Line L class=

Sagot :

really226
The line is perpendicular to the line from origin to P (by tangent is perpendicular to radii)
Which slope is 1/4
So the
(slope of tangent) x (1/4) = -1

Slope of tangent = -4
Point slope form:
(y-1)/(x-4)=-4
y-1=-4x+16
y=-4x+17


Or you can construct the upper half of the circle in y=(17-x^2)^(1/2) and differentiate it to get the slope then use point slope form again
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.