Problem

Problem

If there are only two linear functions

f

and

g

which map

[1, 2]

on

[4, 6]

and in a

\Delta ABC

,

c = f(1) + g(1)

and

a

is the maximum value of

r^2

, where

r

is the distance of a variable point on the curve

x^2 + y^2 - xy = 10

from the origin, then

\sin A : \sin C

is a.

1 : 2

b.

2 : 1

c.

1 : 1

d. None of these

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