Given α, β are roots of quadratic equation x2 + ax + b then the roots of the quadratic equation bx2 + ax + 1 would be

Option 1 -

1 α , 1 β

Option 2 -

α, β

Option 3 -

α + β, α – β

Option 4 -

None

0 2 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • P

    Answered by

    Payal Gupta | Contributor-Level 10

    a month ago
    Correct Option - 1


    Detailed Solution:

    Given quadratic equation x2 + ax + b = 0

    Then product of roots αβ = b

    Sum of roots α + β = − a

    Next quadratic equation bx2 + ax + 1 = 0

    Then product of roots = 1 b = 1 α β

    Hence, clearly by visualising options

    New roots we will b1α and 1β

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