1
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
2
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
3
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
4
WB JEE 2020
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Let p1 and p2 be two equivalence relations defined on a non-void set S. Then
A
both p1 $$ \cap $$ p2 and p1 $$ \cup $$ p2 are equivalence relations
B
$${p_1} \cap {p_2}$$ is equivalence relation but $${p_1} \cup {p_2}$$ is not so
C
$${p_1} \cup {p_2}$$ is equivalence relation but $${p_1} \cap {p_2}$$ is not so
D
neither $${p_1} \cap {p_2}$$ nor $${p_1} \cup {p_2}$$ is equivalence relation.
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