Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If ordered pair ( α , β ) where α , β 
l satisfy the equation 2x 2 – 3xy – 2y 2 = 7, then value of α + β can be
Text Solution
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CHECK THE SOLUTION.
(b, c)
2 α 2 – 3 αβ – 2 β 2 = 7
(2 α + β ) ( α – 2 β ) = 7
(i) 2 α + β = 7
α – 2 β = 1
⇒ α = 3, β = 1
(ii) 2 α + β = – 7
α – 2 β = – 1
⇒ α = – 3 , β = – 1
α + β = 4 and – 4.
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