Question

i) Find the value of a if 2x + ay2 – 3x + 2y – 1 = 0 represents a circle and find the
radius of the circle,
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Answer 1

Answer:

x² + (a/2)y² - (3/2)x + y - 1/2 = 0

from Comparing with circle equation

x² + y² + 2gx + 2fy + c = 0

2g = -3/2

g = -3/4

2f = 1

f = 1/2 , c = -1/2

Radius of the circle

r = √f² + g² - c

= √(1/4) + (9/16) + 1/2

= √ (4+9+8)/16

= √(21)/4 unit

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