The circle C : x² + y² = 3, with centre at O, intersects the parabola x² = 2 y

The circle C : x² + y² = 3, with centre at O, intersects the parabola x² = 2 y  at the point P in the first quadrant. Let the tangent to the circle C1 at P touches other two circles C2 and C3 at R2 and R3, respectively. Suppose C2 and C3 have equal radii 2√3 and centres Q2 and Q3, respectively. If Q2 and Q3  lie on the y-axis, then-

  1. Q2Q3  = 12
  2. R2R3  = 4 √6
  3. area of the triangle OR2R3 is 6 √2
  4. area of the triangle PQ2Q3  is 4  √2
Anurag Mishra Professor Asked on 23rd May 2016 in Maths.
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    Answer: Q2Q3  = 12
    R2R3  = 4 √6
    area of the triangle OR2R3 is 6 √2

    Anurag Mishra Professor Answered on 24th May 2016.
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