Two circles C, and C2 touch each other at point A(k, 2) where 0 < k< 2. The equation of311the circle C, is x² + y² – 6x + 8y =and distance between the centre of the two25circles is 3v26 cm.C2A (k, 2)C1Findthe equation of circle C2.

Answered: Image /qna-images/answer/e3c8f1a9-dadf-4be5-ac54-7d0cdb8502f2.jpg

Two circles C, and C2 touch each other at point A(k, 2) where 0 < k< 2. The equation of the circle C, is x? + y² – 6x + 8y = 11 and distance between the centre of the two 25 circles is 3v26 cm. C2 A (k, 2) C1 Find the equation of circle C2.

Two circles C, and C2 touch each other at point A(k, 2) where 0 < k< 2. The equation of the circle C, is x? + y² – 6x + 8y = 11 and distance between the centre of the two 25 circles is 3v26 cm. C2 A (k, 2) C1 Find the equation of circle C2.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: Circle C has radius 4v3 and center C(-2, 4). Find the equation of circle C in standard form.

Q: Find the equation of the circle whose centre is at the point (1, -1) and which passes through the…

A: Given : circle whose center is at the point 1, -1 which passes through the point 4, 3 To find :…

Q: x2 + (y − 4)2 = 1 Write the equation of the circle in standard form, (x − h)2 + (y − k)2 = r2.

Q: For the equation of the circle (x-10)2+(y+2)2=34 Please explain why the point (5,1) is on the…

Q: 2 A circle C, has the equation x+ y² – 2.x+6y–15=0. Another circle C2 with centre (-2,2) has the…

A: Standard equation of circle with center (a,b) with radius 'r' is given as: (x-a)2+(y-b)2=r2…

Q: ?^2+16?=4?−32 vertex : ( , ) focus : ( , ) directrix ? =

Q: Vertex: (6, -2) Co- Vertex: (0, -1) Center: (0, -2) What are all the vertices and foci? What…

A: Let the given data is for ellipse, Vertex is given (6, -2) and center is (0, -2). Let other vertex…

Q: What is the center and radius for the equation (x - 4)² + (y + 6)² = 81 ?

Q: cirrF Find the equation to the sphere through the circle x + z? = 1, x + 2y + 3z = 4 and the origin.…

Q: You can use the distance formula with the (h, k) and r values to obtain the standard form of the…

Q: What is the equation of a circle having (10,2) and (6,-4) as endpoints of its diameter?

Q: The endpoints of the base of an isosceles triangle are A (-3; 5) and B (3; -1) . The equation of the…

A: Given: A isosceles triangle with A(-3, 5) and B(3, -1) and a circumscribed circle with equation…

Q: (1, 4), (2, 2)and (-1,3)

Q: What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y + 18 = 0?…

A: Find your answer below

Q: determine the radius and the coordinates of the center of the circle which equation x2+y2-4x+8y+3=0

Q: Determine the volume of the square pyramid. 12 cm 10 cm 10 cm

A: For a square pyramid the base will be Square in shape. Given side of the square = 10 cm Also the…

Q: Write the equation of a circle with center (15. 12) and radius 3V6. x+ 15) • (y • 12 = 54 x - 15 +…

Q: Which equation represents a circle with a diameter of 10 units that is centered at (3,- 7)? A…

Q: Identify the center and radius of the circle defined by the equation: (x+3)2 + (y+2) = 16 o Center:…

A: Given: (x+3)2+(y+2)2=16

Q: 6a. What is the center point of the circle from the equation below? (x + 2)² + (y - 4)² = 36 6b.…

Q: A circle has a circumference of 10n inches and a center of (9, 2). What is the standard form…

Question

Two circles C, and C2 touch each other at point A(k, 2) where 0 < k< 2. The equation of
311
the circle C, is x² + y² – 6x + 8y =
and distance between the centre of the two
25
circles is 3v26 cm.
C2
A (k, 2)
C1
Find
the equation of circle C2.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Solution

VIEW

conclusion

VIEW

Step by step

Solved in 7 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

The point on a circle nearest to the point P(2, 1) is at a distance of 4 units and the farthest point is (6,5) then find the equation of the circle.
The equation of a circle (2,7) В (2,-7) (-2,7) D(-2,-7) B.
7) The point (3, -7) is on a circle with center (0, 0). Write the standard equation of the circle.
If the perimeter of a quadrilateral is 45 and side lengths are 12, 9, and 6, what is the length of the remaining side
The endpoints of a diameter of a circle are located at (3, -7) and (5, 7). Write the equation of the circle.
2. Circle A has a center at (-5,7) and a radius of 9. What is the equation used to graph circle A? i.) (x + 5)? + (y - 7)? = 81 ii.) (x + 5)? + (y - 7)? = 9 %3D iii.) (x - 5)² + (y + 7)2 = 81 iv.) (x - 5)? + (y + 7)? = 9 %3D v.) no proper equation shown Your answer
a circle centered at the origin has an equation x²+y²=64, what is the equation of the circle after it has been shifted 3 units to the right and 5 units down? is it (x +3)^2 + ( y - 5 )^2 = 64 or ( x-3 )^2 + (y + 5 )^2 = 64