The line 2x+5y-10=0 is a tangent to a circle at (-2,5). The centre of the circle lies on the line x+ y-4 =0. a. Determine the centre and radius of the circle. Then, write down the general equation of the circle. b. Show that the line y=2x does not meet the circle

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The line 2x+5y-10=0 is a tangent to a circle at (-2,5). The centre of the circle lies on the line
x+y-4=0.
a. Determine the centre and radius of the circle. Then, write down the general equation of
the circle.
b. Show that the line y=2x does not meet the circle
(목),
12
Ans: a) centre =|
radius =
7
V29
24
80
y+35 =0 , b) shown
7'7
Transcribed Image Text:The line 2x+5y-10=0 is a tangent to a circle at (-2,5). The centre of the circle lies on the line x+y-4=0. a. Determine the centre and radius of the circle. Then, write down the general equation of the circle. b. Show that the line y=2x does not meet the circle (목), 12 Ans: a) centre =| radius = 7 V29 24 80 y+35 =0 , b) shown 7'7
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