1
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
2
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.
3
WB JEE 2020
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Consider the curve $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$. The portion of the tangent at any point of the curve intercepted between the point of contact and the directrix subtends at the corresponding focus an angle of
A
$${\pi \over 4}$$
B
$${\pi \over 3}$$
C
$${\pi \over 2}$$
D
$${\pi \over 6}$$
4
WB JEE 2020
MCQ (Single Correct Answer)
+2
-0.5
Consider the curve $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$. The portion of the tangent at any point of the curve intercepted between the point of contact and the directrix subtends at the corresponding focus an angle of
A
$${\pi \over 4}$$
B
$${\pi \over 3}$$
C
$${\pi \over 2}$$
D
$${\pi \over 6}$$
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