Question bank/JEE Main/Mathematics

JEE MainMathematicsEasyQuadratic Equations

At least one of the equations x^2 + ax + b = 0 and x^2 + cx + d
= 0 has real roots if

(1) ac = 2(b + d) (2) ac = (b + d) (3) [IMAGE] (4)

None of these

x^2 + ax + b = 0 x^2 + cx + d = 0

-

(1) ac = 2(b + d) (2) ac = (b + d) (3) [IMAGE] (4)


Show answer and solution
Suppose both the equations have imaginary roots and ac = 2(b +
d). then a^2 - 4b< 0 and

c^2 - 4d <

Source: Grass-G / M-03 Paper 1 Mathematics 21-8-2020_Final.docx

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