The figure below shows a fixed circle C1 with equation (x â 1)2+ y2 = 1 and another shrinking circle C2 centered at the originwith positive y-intercept P=(0,r). Let Q be the point ofintersection between the two circles pictured, draw a line throughP and Q and let R be the x-intercept of that line.

The line throughP and Q has equation:_______________________
The figure shows a fixed circle with the equation and a shrinking circle with the radius and center at the origin. is the point , is the upper point of the intersections of the two circles is the point of the intersection of the line and the x-axis. What happens to as shrinks, that is , as .
roseraven306
Tangent Line

Let be a point on the circle (see figure).

(a) What is the slope of the line joining P and O (0, 0)?

(b) Find an equation of the tangent line to the circle at P

(c) Let Q(x, y) be another point on the circle in the fourth quadrant. Find the slope m, of the line joining P and Q in terms of x.

(d) Calculate How does this number relate to your answer in part (b)?

Question

The figure below shows a fixed circle C1 with equation (x â 1)2+ y2 = 1 and another shrinking circle C2 centered at the originwith positive y-intercept P=(0,r). Let Q be the point ofintersection between the two circles pictured, draw a line throughP and Q and let R be the x-intercept of that line.

The line throughP and Q has equation:_______________________

The figure shows a fixed circle with the equation and a shrinking circle with the radius and center at the origin. is the point , is the upper point of the intersections of the two circles is the point of the intersection of the line and the x-axis. What happens to as shrinks, that is , as .

roseraven306

Tangent Line

Let be a point on the circle (see figure).

(a) What is the slope of the line joining P and O (0, 0)?

(b) Find an equation of the tangent line to the circle at P

(c) Let Q(x, y) be another point on the circle in the fourth quadrant. Find the slope m, of the line joining P and Q in terms of x.

(d) Calculate How does this number relate to your answer in part (b)?

Unlock all answers

Related textbook solutions

Calculus

Single Variable Calculus: Early Transcendentals

CALCULUS:EARLY TRANSCENDENTALS

Related questions

Weekly leaderboard