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 <
d). then a^2 - 4b< 0 and
c^2 - 4d <
Source: Grass-G / M-03 Paper 1 Mathematics 21-8-2020_Final.docx
Need a video for this idea?
Scan any doubt from your notes and get a whiteboard explanation.