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Circle question

2012 · Shift 2 · Q33
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  5. /2012 · Shift 2 · Q33

Circle question

2012 · Shift 2 · Q33

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 possible equation of L is
  1. A
    x−3 y=1{x - \sqrt 3 \,y = 1}x−3​y=1
  2. B
    x+3 y=1{x + \sqrt 3 \,y = 1}x+3​y=1
  3. C
    x−3 y=−1{x - \sqrt 3 \,y = -1}x−3​y=−1
  4. D
    x+3 y=5{x + \sqrt 3 \,y = 5}x+3​y=5
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