If P and Q be the ends of the conjugate diameters of the ellipse \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}\) = 1, and the locus of the middle points of PQ be \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}\) = λ, then λ is :
1
\(\frac{1}{4}\)
2
\(\frac{1}{2}\)
3
2
4
4