α , β are roots of x 2 − x + p = 0 and γ , δ are the roots of x 2 − 4 x + q = 0 . If α , β , γ , δ are in G.P, then integral values of p and q respectively are

Question

TestHub · Accepted Answer

α + β = 1 ⇒ γ + δ = 4 α β = p γ δ = q Let α , β , γ , δ a , ar , ax 2 , ax 3 a + a r = 1 a r 2 + a r 3 = 4 r = 1 , 2 r = 2 r = − 2 a = 3 1 ​ a = − 1 p = \href{http://a.ar}{a.ar} q = ar 2 − ar 3 = − 2 a = − 32

Mathematics - Sequence & Series Question with Solution | TestHub

Options:

Doubts & Discussion

JEE Main (2026)