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BITSAT2016MathematicsCircleActual

The number of integral values of for which x ²+ y ²+ x +(1- ) y +5=0 is the equation of a ircle whose radius cannot exceed 5, is

Options

  1. A14
  2. B18
  3. C16
  4. DNone

Correct answer

C. 16

Step-by-step solution

Radius 5 array l ² 4 + (1- )² 4 -5 5 ²+(1- )²-20 100 2 ²-2 -119 0 1- 239 2 1+ 239 2 -7.2 8.2 ( approx. ) =-7,-6,-5, .7,8, in all 16 array values

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