6. Determine the equation of the circle whose center is at (4, 5) and tangent to the circle whose equation is x2 + y2 + 4x + 6y-23 = 0. A. x2 + y2 - 8x + 10y - 25 = 0 B. x2 + y2 + 8x -10y + 25 0 (C x2 + y2 - 8x - 10y + 25 = 0 D. x2 + y2 - 8x - 10y - 25 0 %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 42E
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I need solutions in exercise number 6 and 7
6. Determine the equation of the circle whose center is at (4, 5) and tangent to the
circle whose equation is x2 + y2 + 4x + 6y -23 = 0.
A. x2 + y2 - 8x + 10y - 25 = 0
B. x2 + y2 + 8x -10y + 25 0
%3D
(C) x2 + y2 - 8x - 10y + 25 = 0
D. x2 + y2 - 8x - 10y - 25 = 0
%3D
7. A circle has a diameter whose ends are at (-3, 2) and (12, -6). Its Equation is:
A. 4x2 + 4y2-36x +16y +192 = 0
B) 4x2 + 4y2 - 36x +16y -192 = 0
C. 4x2 + 4y2 -36x -16y - 192 = 0
D. 4x2 + 4y2 - 36x +16y -192 = 0
8. The vertex of the parabola y2 -2x + 6y + 3 = 0 is at:
%3D
%3D
%3D
A. (-3, 3)
В. (3,3)
С. (3, -3)
D.(-3, -3)
9. Given the equation of the parabola: y2 - 8x – 4y - 20 = 0. The length of its latus
rectum is:
В. 4
C. 6
D. 8
10. What is the length of the latus rectum of the curve x2 = -12y?
B.-3
%3D
А. 12
С. 3
D. -12
then,
-k)= (x-h)?
seal benrth
%3D
Transcribed Image Text:6. Determine the equation of the circle whose center is at (4, 5) and tangent to the circle whose equation is x2 + y2 + 4x + 6y -23 = 0. A. x2 + y2 - 8x + 10y - 25 = 0 B. x2 + y2 + 8x -10y + 25 0 %3D (C) x2 + y2 - 8x - 10y + 25 = 0 D. x2 + y2 - 8x - 10y - 25 = 0 %3D 7. A circle has a diameter whose ends are at (-3, 2) and (12, -6). Its Equation is: A. 4x2 + 4y2-36x +16y +192 = 0 B) 4x2 + 4y2 - 36x +16y -192 = 0 C. 4x2 + 4y2 -36x -16y - 192 = 0 D. 4x2 + 4y2 - 36x +16y -192 = 0 8. The vertex of the parabola y2 -2x + 6y + 3 = 0 is at: %3D %3D %3D A. (-3, 3) В. (3,3) С. (3, -3) D.(-3, -3) 9. Given the equation of the parabola: y2 - 8x – 4y - 20 = 0. The length of its latus rectum is: В. 4 C. 6 D. 8 10. What is the length of the latus rectum of the curve x2 = -12y? B.-3 %3D А. 12 С. 3 D. -12 then, -k)= (x-h)? seal benrth %3D
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