Question bank/JEE Main/Mathematics
JEE MainMathematicsToughQuadratic Equations
If both roots of be prime numbers, then
find the number of real values of k.
Show answer and solution
since sum of roots = 2011
Which is odd and both roots are prime
One root must be even and other root must be odd.
even prime is only 2
other root is 2009 which is not a prime number
Hence no value of k possible here.
Which is odd and both roots are prime
One root must be even and other root must be odd.
even prime is only 2
other root is 2009 which is not a prime number
Hence no value of k possible here.
Source: Grass-G / M-16 Mathematics Paper 25 Nov First.docx
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