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Circle question

2012 · Shift 2 · Q32
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Circle question

2012 · Shift 2 · Q32

JEE AdvancedMathematicsCircleMCQ+4 / −1
A tangent PT is drawn to the circle x2 +y2=4{x^2}\, + {y^2} = 4x2+y2=4 at the point P (3,1)\left( {\sqrt 3 ,1} \right)(3​,1). A straight line L, perpendicular to PT is a tangent to the circle (x−3)2{(x - 3)^2}(x−3)2+y2{y^2}y2 = 1 A common tangent of the two circles is
  1. A
    x = 4
  2. B
    y = 2
  3. C
    x+3 y=4{x + \sqrt 3 \,y = 4}x+3​y=4
  4. D
    x+22 y=6{x +2 \sqrt 2 \,y = 6}x+22​y=6
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