1 Find the equation of the circle with the given centre and radius. a i centre (3,7), radius 4 ii centre (5, 1), radius 6 centre (3,-1), radius √7 ii centre (-4, 2), radius √5 2 Write down the centre and radius of the following circles: ai (x-2)² + (y + 3)² = ² ii (x + 1)² + (y + 5)² = / (x-3)² + (y)² = 6 bi bi ii (x+³)² + (y-²) ² = 3 3 Find the centre and radius of the following circles: x² + 4x + y²-6y + 4 = 0 ii x²8x + y² + 2y + 8 = 0 x² - 2x + y² + 6y + 1 = 0 2 x²10x + y² + 4y - 1 = 0 x² + 5x + y²-y+2=0 x²-3x + y² + 7y-3=0 x +y? — 5y = 12 P M bi ii i ii di ii x² + y² + 3x = 10
1 Find the equation of the circle with the given centre and radius. a i centre (3,7), radius 4 ii centre (5, 1), radius 6 centre (3,-1), radius √7 ii centre (-4, 2), radius √5 2 Write down the centre and radius of the following circles: ai (x-2)² + (y + 3)² = ² ii (x + 1)² + (y + 5)² = / (x-3)² + (y)² = 6 bi bi ii (x+³)² + (y-²) ² = 3 3 Find the centre and radius of the following circles: x² + 4x + y²-6y + 4 = 0 ii x²8x + y² + 2y + 8 = 0 x² - 2x + y² + 6y + 1 = 0 2 x²10x + y² + 4y - 1 = 0 x² + 5x + y²-y+2=0 x²-3x + y² + 7y-3=0 x +y? — 5y = 12 P M bi ii i ii di ii x² + y² + 3x = 10
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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Please help me answer 1ai, 1bii, 2ai, 2bii, 3ai, 3ci they all aren't to big
Transcribed Image Text:1 Find the equation of the circle with the given centre and radius.
a i
centre (3, 7), radius 4
ii centre (5, 1), radius 6
bi
ii
2 Write down the centre and radius of the following circles:
2
a i
(x − 2)² + (y + 3) ² = ²/1
ii
bi
a
2
ii (x + ²)² + ( y − 3 ) ² = 3
3 Find the centre and radius of the following circles:
i
x² + 4x + y² − 6y + 4 = 0
2
x · 8x + y² + 2y + 8 = 0
ii
centre (3,-1), radius √7
-4, 2), radius √5
centre
bi
x² − 2x + y² + 6y + 1 = 0
x²
10x + y² + 4y − 1 = 0
x² + 5x + y² − y +2=0
ii x² − 3x + y² + 7y - 3 = 0
+ỷ – 5g
2
x
= 12
ii x² + y² + 3x
ii
(x+1)² + (y + 5)² = 2/
(y
(y- / - ) ² = 6
2
(x − 3)² +
ci
i
-
10
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