A planet is revolving round the sun. Its distance from the sun at Apogee is $r_A$ and that at Perigee is $r_P$ . The mass of planet and sun is $m$ and $M$ respectively, $v_A$ and $v_P$ is the velocity of planet at Apogee and Perigee respectively and $T$ is the time period of revolution of planet round the sun.

Then consider the following:

(a) $T^2=\frac{{\pi }^2}{2Gm}{\left(r_A+r_P\right)}^2$

(b) $T^2=\frac{{\pi }^2}{2GM}{\left(r_A+r_P\right)}^3$

(c) $v_A{r}_A=v_P{r}_P$

(d) $v_A<v_P , r_A>r_P$

Choose the correct statements from (a), (b), (c) and (d) :