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AP EAMCET201922 Apr 2019Morning ShiftMathematicsCircleActual

If the equation of the circle having its centre in the second quadrant touches the coordinate axes and also the line ( x 5 + y 12 =1 ) is (x^2+y^2+2 x-2 y+ ^2=0 ), then ( = )

Options

  1. A3
  2. B10
  3. C15
  4. D-2

Correct answer

B. 10

Step-by-step solution

Given, equation of circle is (x^2+y^2+2 x-2 y+ ^2=0 )...(i) Here, centre is ((- , ) ) and radius (= ) Since, circle (i) touches (12 x+5 y-60=0 ) ( array ll & r=d & = |-7 -60| 144+25 & 13 =|-7 -60| & 7 +60=13 or -7 -60=13 & 6 =60 or 20 =-60 & =10 or =-3 & =10 ( -3) array )

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