If area of triangle formed by the point (2 α, β),(α+β, 2 β+α) and (2 β, 2 α) is 8 square unit then area of triangle whose vertex are (α+β, α-β),(3 β-α, β+3 α) and (3 α-β, 3 β-α) is

Question

If area of triangle formed by the point (2 α, β),(α+β, 2 β+α) and (2 β, 2 α) is 8 square unit then area of triangle whose vertex are (α+β, α-β),(3 β-α, β+3 α) and (3 α-β, 3 β-α) is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Area of triangle ABC =4( triangle PQR )=4( triangle PQR )=4 × 8=32 square unit

Q. If area of triangle formed by the point $(2 α, β), (α + β, 2 β + α)$ and $(2 β, 2 α)$ is 8 square unit then area of triangle whose vertex are $(α + β, α - β), (3 β - α, β + 3 α)$ and $(3 α - β, 3 β - α)$ is

Area of $△ A BC = 4 (△ PQR) = 4 (△ PQR) = 4 \times 8 = 32$ square unit

Q. If area of triangle formed by the point (2α,β),(α+β,2β+α) and (2β,2α) is 8 square unit then area of triangle whose vertex are (α+β,α−β),(3β−α,β+3α) and (3α−β,3β−α) is

Area of △ABC=4(△PQR)=4(△PQR)=4×8=32 square unit

Q. If area of triangle formed by the point $(2 α, β), (α + β, 2 β + α)$ and $(2 β, 2 α)$ is 8 square unit then area of triangle whose vertex are $(α + β, α - β), (3 β - α, β + 3 α)$ and $(3 α - β, 3 β - α)$ is

Area of $△ A BC = 4 (△ PQR) = 4 (△ PQR) = 4 \times 8 = 32$ square unit