Consider a triangle 𝑃𝑄𝑅 having sides of lengths 𝑝, 𝑞 and 𝑟 opposite to the angles 𝑃,𝑄 and 𝑅, respectively. Then which of the following statements is (are) TRUE ?

A

$$\cos P \geq 1 - \frac{p^{2}}{2qr}$$

B

$$\cos R \geq \left(\frac{q-r}{p+q}\right) cos P + \left(\frac{p-r}{q+p}\right) \cos Q$$

C

$$\frac{q+r}{p} < 2 \frac{\sqrt{\sin Q \sin R}}{\sin P}$$

D

If p < q and p < r, then $$\cos Q > \frac{p}{r}$$ and $$\cos R >\frac{p}{q}$$