If p + q +r = 0, then what is the simplified value of the expression ( (p²)/(p² - qr) + (q²)/(q² - pr) + (r²)/(r² - pq) )

If p + q +r = 0, then what is the simplified value of the…

If p + q +r = 0, then what is the simplified value of the expression ( $\frac{p^2}{p^2 - qr} + \frac{q^2}{q^2 - pr} + \frac{r^2}{r^2 - pq}$ )

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 2.

Given that

If p + q + r = 0,

Calculation

Put p = 0, q = 1, r = -1

⇒ ( $\frac{p^2}{p^2 - qr} + \frac{q^2}{q^2 - pr} + \frac{r^2}{r^2 - pq}$ )

⇒ 0 + 1 + 1

⇒ 2