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JEE Advanced2008MathematicsStraight LinesActual

Paragraph: A circle C of radius 1 is inscribed in an equilateral P Q R . The points of contact of C with the sides P Q, Q R, R P are D, E, F respectively. The line P Q is given by the equation 3 x+y-6=0 and the point D is ( 3 3 2 , 3 2 ) . Further, it is given that the origin and the centre of C are on the same side of the line P Q . Question: Equations of the sides Q R, R P are

Options

  1. Ay= 2 3 x+1, y=- 2 3 x-1
  2. By= 1 3 x, y=0
  3. Cy= 3 2 x+1, y=- 3 2 x-1
  4. Dy= 3 x, y=0

Correct answer

D. y= 3 x, y=0

Step-by-step solution

Clearly, point E and F satisfy the equations given in option (d).

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