1
WB JEE 2019
MCQ (Single Correct Answer)
+2
-0.5
Change Language
The length of conjugate axis of a hyperbola is greater than the length of transverse axis. Then, the eccentricity e is
A
$$ = \sqrt 2 $$
B
$$ > \sqrt 2 $$
C
$$ < \sqrt 2 $$
D
$$ < {1 \over {\sqrt 2 }}$$
2
WB JEE 2019
MCQ (Single Correct Answer)
+2
-0.5
Change Language
The value of $$\mathop {\lim }\limits_{x \to {0^ + }} {x \over p}\left[ {{q \over x}} \right]$$ is
A
$${{[q]} \over p}$$
B
0
C
1
D
$$\infty $$
3
WB JEE 2019
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Let $$f(x) = {x^4} - 4{x^3} + 4{x^2} + c,\,c \in R$$. Then
A
f(x) has infinitely many zeroes in (1, 2) for all c
B
f(x) has exactly one zero in (1, 2) if $$-$$1 < c < 0
C
f(x) has double zeroes in (1, 2) if $$-$$1 < c < 0
D
whatever be the value of c, f(x) has no zero in (1, 2)
4
WB JEE 2019
MCQ (Single Correct Answer)
+2
-0.5
Change Language
The graphs of the polynomial x2 $$-$$ 1 and cos x intersect
A
at exactly two points
B
at exactly 3 points
C
at least 4 but at finitely many points
D
at infinitely many points
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