1
WB JEE 2020
+2
-0.5 Let z1 and z2 be two imaginary roots of z2 + pz + q = 0, where p and q are real. The points z1, z2 and origin form an equilateral triangle if
A
p2 > 3q
B
p2 < 3q
C
p2 = 3q
D
p2 = q
2
WB JEE 2020
+2
-0.5 If P(x) = ax2 + bx + c and Q(x) = $$-$$ax2 + dx + c, where ac $$\ne$$ 0 [a, b, c, d are all real], then P(x).Q(x) = 0 has
A
at least two real roots
B
two real roots
C
four real roots
D
no real root
3
WB JEE 2019
+1
-0.25 Let a, b, c be real numbers such that a + b + c < 0 and the quadratic equation ax2 + bx + c = 0 has imaginary roots. Then,
A
a > 0, c > 0
B
a > 0, c < 0
C
a < 0, c > 0
D
a < 0, c < 0
4
WB JEE 2018
+1
-0.25 If $${b_1}{b_2} = 2({c_1} + {c_2})$$ and b1, b2, c1, c2 are all real numbers, then at least one of the equations $${x^2} + {b_1}x + {c_1} = 0$$ and $${x^2} + {b_2}x + {c_2} = 0$$ has
A
real roots
B
purely imaginary roots
C
roots of the form a + ib (a, b$$\in$$R, ab $$\ne$$ 0)
D
rational roots
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Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
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Calculus
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