If (λ, 4) is the orthocentre of the triangle whose vertices lie on the rectangular hyperbola x y=16, then λ is equal to

Question

If (λ, 4) is the orthocentre of the triangle whose vertices lie on the rectangular hyperbola x y=16, then λ is equal to (A) 3 (B) 4 (C) 12 (D) 8

Tardigrade Admin · Accepted Answer

By property, orthocentre always lie on rect. hyperbola ∴ λ × 4=16 ∴ λ=4

Q. If $(λ, 4)$ is the orthocentre of the triangle whose vertices lie on the rectangular hyperbola $x y = 16$ , then $λ$ is equal to