What is the equation of the circle concentric with circle(x-2)2 + (y+1)2 = 5 that is tangent to the line 2x–y+2 = 0? a. (x + 2)^2 + (y - 1)^2 = 7/25 b. (x – 2)^2 + (y + 1)^2 = 7/25 c. (x + 2)^2 + (y - 1)^2 = 49/5 d. (x – 2)^2 + (y + 1)^2 = 49/5

What is the equation of the circle concentric with circle(x-2)2 + (y+1)2 = 5 that is tangent to the line 2x–y+2 = 0? a. (x + 2)^2 + (y - 1)^2 = 7/25 b. (x – 2)^2 + (y + 1)^2 = 7/25 c. (x + 2)^2 + (y - 1)^2 = 49/5 d. (x – 2)^2 + (y + 1)^2 = 49/5

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 31E

See similar textbooks

Related questions

Q: At what point of the parabola is the tangent line parallel to 7x+y-2=0? y=2x^2-3x+1

Q: Find an equation of the tangent to the circle x2+y2=36 at the point (5,3)

Q: What is the maximum vertical distance between the line y = x + 30 and the parabola y = x2 for -5 s x…

A: given, equation of line is y = x + 30 and equation of parabola is we have to find maximum vertical…

Q: b. Enclosed by the curves y² = 4x + 4 and the line y = 4x – 16.

Q: What is the distance between the line with Cartesian equation x-6 = y-1 =z and the line with…

A: Answer

Q: Hello. Can you please explain this problem to me?

A: Slope of the function is the derivative of the function.

Q: 5. What is the maximum vertical distance between the line y = x + 2 and the parabola y = x² for – 1…

A: The given equations are, y = x + 2 ....(1) y = x2 ....(2) To find the maximum…

Q: 13) Find the points of intersecti on of the parabola and the line. y=2x^2-3x-1 and y=x+5

A: Equate the equations with each other and solve for x to find the point of intersection .

Q: t this problem?

A: Consider the given parabola:

Q: Find the length of the arc of the curve 9y2 = 4x3 from the origin to the point (3,2v3).

Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and…

A: To find a parabola with equation.

Q: What is the maximum vertical distance between the line y = x + 51 and the parabola y= x² over the…

A: Given: The line y=x+51 and the parabola y=x2 To find: Maximum vertical distance between given line…

Q: What is the maximum vertical distance between the line y = x + 6 and the parabola y x2 for -2 < x<…

Q: Find a parabola with equation y = ax² + bx + c that has slope 4 at x = 1, slope -16 at x = -1, and…

A: We know slope of a curve y=f(x) is given by, dydx=f'(x)

Q: How to find an equation of the line tangent to the circle x^2+y^2-6x-2y-15=0 at the point (6,5) ?

A: Note:- The standard form of equation of tangent line at point c, d is y-d = m x-c Here, m is the…

Q: What is the maximum vertical distance between the line y =x +2and the parabola y =x2 for -1 ≤ x…

Q: <, y) = )-« lustrate with a sketch. y 4 3 3 2 2 2 1 -4 -3 -2 1 1 2 4 -4 -3 -2 4 -4 -3 -2 /1 -1 -2 -3…

A: Topic:- calculus

Q: What is the shortest distance from the surface xy + 15x + z2 = 204 to the origin? distance =

Q: Find thepoints on the curve y = 2x3 - 3x2 - 12x + 20 where thetangent line is parallel to the line y…

A: Given curve is y=2x3-3x2-12x+20 Given line is y=2-12x=-12x+2 Slope of the given line is -12.…

Q: ` What is the shortest distance from the surface xy + 9x + z² = 76 to the origin? distance =

A: z2+9x+xy=76z2=76-9x-xy ---- Eq 1Let P(x,y,z) be a point on the given surface. We know that…

Q: Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and…

Q: Find equations of both lines through the point (5, –6) that are tangent to the parabola y = x2 – 3x

A: topic - equation of tangent to curve

Q: What are the coordinates of the points in the graph of y2-x²+6x – 13=0 in which the tangent line is…

Q: What is the equation of a family of curves orthogonal to 2x2 + y2 = c?

Q: The slope of the tangent line to the parabola y = 2x“ + 2x + 6 at the point (1, 10) is: The equation…

A: Given, The parabola is y=2x2+2x+6 and the point is 1,10.

Q: The slope of the tangent line to the parabola y=4x2+2x+6y=4x2+2x+6 at the point (-3,36) is: ?

Q: What is the maximum vertical distance between the line y = x + 30 and the parabola y = x2 for…

A: Definition used - Vertical distance is given by -…

Q: The slope of the tangent line to the parabola y 3x2 + 2x + 6 at the point (5, 91) is: The equation…

Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

Q: What equation is tangent to the circle (x-4)+ (y-2)- 25 at the point (8,5)?

A: We have to find the equation of the tangent to the circle x-42+y-22=25 at the point 8,5.

Q: What is the distance between the line with Cartesian equation x-1 = y-6 = z and the line with…

A: Given:- The line with cartesian equation x-1=y-6=z and the line with the cartesian equation…

Q: Find the coordinates of the point at -50° on a circle of radius 4.7 centered at the origin.

A: x=r cos θ , y=r sin θr is the radius, θ=-50°

Q: The line y = 2x - 9 is tangent to the parabola y = x'2 + ax + b at the point (4,-1). What are the…

A: Given y=2x-9 is tangent to y=x2+ax+b at (4,-1) So, y=x2+ax+b passes through (4,-1)Put x=4 and…

Q: What equation is tangent to the circle (x-4)^2 + (y-2)^2=25 at the point (8,5)?

Q: What is the maximum vertical distance between the line y = x + 42 and the parabola y = x for -6 s xs…

A: Consider the equation y=x+42 and y=x2; -6≤x≤7. Substitute y=x+42 in y=x2.…

Q: 2. Find the length of the curve y=- 1 from 1<x<2. 8 4x?

Q: Find the length of the arc of the parabola y²=4x from the vertex to a point where x=4.

Q: What is the maximum vertical distance between the line y = x + 2 and the parabola y = x2 for -1 <x<…

Q: Find the points of intersection of the circle C of radius 3 centered at (-1, -2) and the line L with…

A: Want to find: the points of intersection of the circle C of radius 3…

Q: How close does the semicircle y = V16 – x² come to the point (1, v5)? |

Q: What are the coordinates of the points in the graph of y² – x² + 6x – 13 = 0 in which the tangent…

Q: What equation is tangent to the circle(x-4)^2 + (y-2)^2 at the point (8,5)?

Q: The slope of the tangent line to the parabola y 3x + 3x +7 at the point (- 5, 67) is: The equation…

A: Take the derivative and put the given point.

Q: What is the equation of a circle passing through (6,2) and tangent to the line x-4y-15=0 at (3,-3)?…

Q: What are the coordinates of the points in the graph of y-x²+6x – 13=0 in which the tangent line is…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 5. Find the point on the parabola y=2x-3x+6 where the tangent line is parallel to the line 7x+y=1.

Q: 4. Find the equation of the circle that is tangent to the line x = 8 that has a center at (-5, 10).

A: The general equation of circle having the center at h,k and radius r is given as, x-h2+y-k2=r2 it is…

Q: What is the average distancebetween the parabola y = 30x(20 - x) and the x-axis on theinterval [0,…

A: The equation of parabola is given by y=30x20-x on [0, 20] The expression to evaluate the average of…

Q: What is the maximum vertical distance between the line y = x + 6 and the parabola y = x< for -2 <x<…

A: To Find

Question

What is the equation of the circle concentric with circle(x-2)² + (y+1)²= 5 that is tangent to the line 2x–y+2 = 0?

a. (x + 2)^2 + (y - 1)^2 = 7/25

b. (x – 2)^2 + (y + 1)^2 = 7/25

c. (x + 2)^2 + (y - 1)^2 = 49/5

d. (x – 2)^2 + (y + 1)^2 = 49/5

Which of the following lines is the tangent to the circle x² + y² – 4x – 21 = 0 at T(5, 4)?

a. 4y + 3x + 31 = 0

b. 4y + 3x – 31 = 0

c. 4y – 3x –31 = 0

d. 4x + 3y – 31 = 0

The coordinates of a polygon are (2, 0), (0, 8), (5, 4), and (-3, 4). What is the area?

a. 24

b. 36

c. 32

d. 28

Definition Definition Two-dimentional plane figure composed of a finite number of straight line segments connected to form a closed chain or circuit. A polygonal circuit's segments are known as its edges or sides, and the points where two edges meet are known as its vertices or corners.

Expert Solution