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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I need solutions in exercise number 6 and 7

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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