The equation (5x-1)2+(5y-2)2=λ2-4λ+4(3x+4y-1)2 represents an ellipse if λ∈

x−152+y−252=λ2−4λ+43x+4y−152x−152+y−252=|λ−2|3x+4y−15 is an ellipse if 0<|λ−2|<1⇒-1<λ-2<1 and λ-2≠0⇒1<λ<3 and λ≠2.⇒λ∈1,2∪2,3