Find the value of a if
2x + ay - 3x +2y 1-0 Represents
a
circle and also find it radius
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Answer:
Given equation to represents a circle, coefficient of x
2and y 2
must be same i.e. a=2
So the given equation becomes
2x 2+2y 2−3x+2y−1=0⇒x 2+y 2− 23
x+y− 21=0
Comparing with general equation of circle, g=−
43
,f= 21
,c=− 21
Hence radius = g 2+f2−c= 169+41 + 21= 421
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