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JEE Advanced2007MathematicsProperties of TrianglesActual

Paragraph: Consider the circle x^2+y^2=9 and the parabola y^2=8 x . They intersect at P and Q in the first and the fourth quadrants, respectively. Tangents to the circle at P and Q intersect the X -axis at R and tangents to the parabola at P and Q intersect the X -axis at S . Question: The radius of the incircle of the P Q R is

Options

  1. A4
  2. B3
  3. C8 3
  4. D2

Correct answer

D. 2

Step-by-step solution

Radius of incircle is, r= s As =16 2 aligned & s= 6 2 +6 2 +4 2 2 =8 2 & r= 16 2 8 2 =2 & aligned

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