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## IIT JEE 2008 Paper I

 Formats Worksheet / Test Paper Quiz Review
: Multiple choice

Paragraph of Question Nos. 15 to 17

A circle C of radius 1 is inscribed in an equilateral triangle PQR. The points of contact of C with the sides PQ, QR, RP are D, E, F respectively. The line PQ is given by the equation √3x + y − 6 = 0 and the point D is

 ( 3√3 2 , 3 2 ).

Further, it is given that the origin and the center of C are on the same side of the line PQ.

1.

15. The equation of circle C is
 (x − 2√3)2 + (y − 1)2 = 1 (x − 2√3)2 + (y + 1/2)2 = 1 (x − √3)2 + (y + 1)2 = 1 (x − √3)2 + (y − 1)2 = 1

Half-n-half Clue

2.

16. Points E and F are given by

 ( √3 2 , 3 2 ), (√3 , 0)

 ( √3 2 , 1 2 ), (√3 , 0)

 ( √3 2 , 3 2 ), ( √3 2 , 1 2 )

 ( 3 2 , √3 2 ), ( √3 2 , 1 2 )

Half-n-half Clue

3.

17. Equations of the sides QR, RP are

 y = 2 √3 x + 1 , y = − 2 √3 x − 1

 y = 1 √3 x , y = 0

 y = √3 2 x + 1 , y = − √3 2 x − 1

y = √3 x, y = 0

Half-n-half Clue