Let α, β be the roots of the equation x 2 - px + r = 0 and \( α 2 , 2β \) be the roots of the equation x 2 - qx + r = 0. Then the value of r is

Let α, β be the... - Solved

Question 35

Mathematics Linear and Quadratic Equations Hard

Let α, β be the roots of the equation x2 - px + r = 0 and \(\dfrac{\alpha}{2}, 2\beta \) be the roots of the equation x2 - qx + r = 0. Then the value of r is

(A) \(\dfrac{2}{9}(p-q)(2q-p)\)

(B) \(\dfrac{2}{9}(q-p)(2q-p)\)

(C) \(\dfrac{2}{9}(q-2p)(2q-p)\)

(D) \(\dfrac{2}{9}(2p-q)(2q-p)\)

View Dynamic Solution & Explanation ▼

Correct Solution: Option D

Step-by-step Solution:

No explanation entered yet.