QJEEM19Ma760b: JEE Main 2019 Mathematics - Class 11 JEEM19Ma760b Solution: The value of λ such that sum of the squares of the roots of the …

Question

Verified Solution • 2025–26 Session moderate

The value of

λ

such that sum of the squares of the roots of the quadratic equation, x² + (3 –

λ

)x + 2 =

λ

has the least value is -

Accepted Answer

α

+

β

=

λ

-

3

α

β

= 2

-

λ

α

² +

β

² = (

α

+

β

)²

-

2

α

β

= (

λ

-

3)²

-

2

(2 - λ)

=

λ

² + 9

-

6

λ

-

4 + 2

λ

=

λ

²

-

4

λ

+ 5

= (

λ

-

2)² + 1

∴

λ

= 2

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