Write the equations of the circle in general form : x^2 + y^2 +Dx+Ey+F=0. 1. The line segment joining (4,-2) and (-8,-6) is a diameter. 2. The line segment joining (0,7) and (-6,-3) is a diameter. 3. The center is at (-3,2) and the circle passes through (4,-6). 4. The center is at (0,-9) and the circle passes through (8,0).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Please answer all the numbers given.
Write the equations of the circle in general
form : x^2 + y^2 +Dx+Ey+F=0.
1. The line segment joining (4,-2) and (-8,-6) is
a diameter.
2. The line segment joining (0,7) and (-6,-3) is
a diameter.
3. The center is at (-3,2) and the circle passes
through (4,-6).
4. The center is at (0,-9) and the circle passes
through (8,0).
Transcribed Image Text:Write the equations of the circle in general form : x^2 + y^2 +Dx+Ey+F=0. 1. The line segment joining (4,-2) and (-8,-6) is a diameter. 2. The line segment joining (0,7) and (-6,-3) is a diameter. 3. The center is at (-3,2) and the circle passes through (4,-6). 4. The center is at (0,-9) and the circle passes through (8,0).
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