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JEE Advanced 2008Paper 1

Exam: JEE Advanced
Year: 2008
Paper: Paper 1
Subject: Mathematics
Chapter: Straight Lines

JEE Advanced 2008 · Paper 1 · Mathematics · Straight Lines

Paragraph: A circle C of radius 1 is inscribed in an equilateral P...

Paragraph: A circle

C

of radius 1 is inscribed in an equilateral

\triangle 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

\sqrt{3} x+y-6=0

and the point

D

is \left(\frac{3 \sqrt{3}}{2}, \frac{3}{2}\right)

. Further, it is given that the origin and the centre of

C

are on the same side of the line

P Q

.<strong>Question:</strong> Equations of the sides

Q R, R P are

Options

A $y=\frac{2}{\sqrt{3}} x+1, y=-\frac{2}{\sqrt{3}} x-1$
B $y=\frac{1}{\sqrt{3}} x, y=0$
C $y=\frac{\sqrt{3}}{2} x+1, y=-\frac{\sqrt{3}}{2} x-1$
D $y=\sqrt{3} x, y=0$

Correct answer

D. $y=\sqrt{3} x, y=0$

Step-by-step solution

Clearly, point

E

and

F

satisfy the equations given in option (d).

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