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1
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The expression ax2 + bx + c (a, b and c are real) has the same sign as that of a for all x if
A
b2 $$ - $$ 4ac > 0
B
b2 $$ - $$ 4ac $$ \ne $$ 0
C
b2 $$ - $$ 4ac $$ \le $$ 0
D
b and c have the same sign as that of a
2
WB JEE 2020
MCQ (Single Correct Answer)
+2
-0.5
Change Language
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
3
WB JEE 2020
MCQ (Single Correct Answer)
+2
-0.5
Change Language
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
4
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
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
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