ABCD is a square of side length 2 units

MATHEMATICS · Single correct · ICSE · Mathematics · Geometry · Geometry

Problem

ABCD is a square of side length 2 units.

C_1

is the circle touching all the sides of the square ABCD and

C_2

is the circumcircle of square ABCD. L is a fixed line in the same plane and R is a fixed point. A line

L'

through

A

is drawn parallel to

BD

. Point

S

moves such that its distances from the line

BD

and the vertex

A

are equal. If locus of

S

cuts

L'

T_2

and

T_3

and

AC

T_1

, then area of

\Delta T_1 T_2 T_3

is (1)

\frac{1}{2}

sq units (2)

\frac{2}{3}

sq units (3) 1 sq units (4) 2 sq units