px2+qx+r=0 Let α and β be the two roots of the quadratic equation. The sum of the roots of a quadratic equation is given by: α+β=−
q
p
The product of the roots is given by: αβ=
r
p
Given: Both the roots are positive Therefore, the sum of roots and products of roots is also positive. ⇒ Sum of roots >0 ⇒−
q
p
>0 Multiplying both side by p2, we get ⇒−qp>0 ∴pq<0 Now, products of roots >0 ⇒
r
p
>0 Multiplying both sides by p2, we get ⇒pr>0 Hence correct answer is pq<0,pr>0 Multiplying each side of an inequality by a positive number does not change the direction of the inequality symbol