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Circle question

2012 · Shift 1 · Q26
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  5. /2012 · Shift 1 · Q26

Circle question

2012 · Shift 1 · Q26

JEE AdvancedMathematicsCircleMCQ+4 / −1
The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line 4x - 5y = 20 to the circle x2 + y2=9{x^2}\, + \,{y^2} = 9x2+y2=9 is
  1. A
    20 (x2 + y2)−  36x  +  45y=020\,({x^2}\, + \,{y^2}) - \,\,36x\,\, + \,\,45y = 020(x2+y2)−36x+45y=0
  2. B
    20 (x2 + y2)+  36x  −  45y=020\,({x^2}\, + \,{y^2}) + \,\,36x\,\, - \,\,45y = 020(x2+y2)+36x−45y=0
  3. C
    36 (x2 + y2)−  20x  +  45y=036\,({x^2}\, + \,{y^2}) - \,\,20x\,\, + \,\,45y = 036(x2+y2)−20x+45y=0
  4. D
    36 (x2 + y2)+  20x  −  45y=036\,({x^2}\, + \,{y^2}) + \,\,20x\,\, - \,\,45y = 036(x2+y2)+20x−45y=0
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