1
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
2
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
3
WB JEE 2020
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Let $$A = \{ x \in R: - 1 \le x \le 1\} $$ and $$f:A \to A$$ be a mapping defined by $$f(x) = x\left| x \right|$$. Then f is
A
injective but not surjective
B
surjective but not injective
C
neither injective nor surjective
D
bijective
4
WB JEE 2020
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Let $$f(x) = \sqrt {{x^2} - 3x + 2} $$ and $$g(x) = \sqrt x $$ be two given functions. If S be the domain of fog and T be the domain of gof, then
A
S = T
B
S $$ \cap $$ T = $$\phi $$
C
S $$ \cap $$ T is a singleton
D
S $$ \cap $$ T is an interval
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