The radius of the circle 2 x 2 + 2 y 2 - 3 x + 2 y - 1 = 0 is _________ units.

The radius of the circle 2x2+2y2-3x+2y-1=0 is _________ units.
  1. 212 units
  2. 214 units
  3. 214 units
  4. 54 units

Solution

2x2+2y2-3x+2y-1=0

⇒x2+y2-32x+y-12=0

r=g2+f2-c

g=-34, f=12, c=-12

r=916+14+12

⇒r=9+4+816

r=214 units.

Asked in: AP EAMCET 2020 (23 Sep Shift 1)

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