If are the sides of such that

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

a, b, c

are the sides of

\Delta ABC

such that

3^{2a^2} - 2 \cdot 3^{a^2 + b^2 + c^2} + 3^{2b^2 + 2c^2} = 0

, then If sides of

\Delta PQR

are

a, b \sec C, c \operatorname{cosec} C

. Then, area of

\Delta PQR

is (1)

\frac{\sqrt{3}}{4}a^2

(2)

\frac{\sqrt{3}}{4}b^2

(3)

\frac{\sqrt{3}}{4}c^2

(4)

\frac{1}{2}abc