1
WB JEE 2019
MCQ (More than One Correct Answer)
+2
-0
Change Language
The area bounded by y = x + 1 and y = cos x and the X-axis, is
A
1 sq unit
B
$${3 \over 2}$$ sq unit
C
$${1 \over 4}$$ sq unit
D
$${1 \over 8}$$ sq unit
2
WB JEE 2019
MCQ (More than One Correct Answer)
+2
-0
Change Language
Let x1, x2 be the roots of $${x^2} - 3x + a = 0$$ and x3, x4 be the roots of $${x^2} - 12x + b = 0$$. If $${x_1} < {x_2} < {x_3} < {x_4}$$ and $${x_1},{x_2},{x_3},{x_4}$$ are in GP, then ab equals
A
$${{24} \over 5}$$
B
64
C
16
D
8
3
WB JEE 2019
MCQ (More than One Correct Answer)
+2
-0
Change Language
If $$\theta \in R$$ and $${{1 - i\cos \theta } \over {1 + 2i\cos \theta }}$$ is real number, then $$\theta $$ will be (when I : Set of integers)
A
$$(2n + 1){\pi \over 2},n \in I$$
B
$${{3n\pi } \over 2},n \in I$$
C
$$n\pi ,n \in I$$
D
$$2n\pi ,n \in I$$
4
WB JEE 2019
MCQ (More than One Correct Answer)
+2
-0
Change Language
Let $$A = \left[ {\matrix{ 3 & 0 & 3 \cr 0 & 3 & 0 \cr 3 & 0 & 3 \cr } } \right]$$. Then, the roots of the equation det $$(A - \lambda {I_3})$$ = 0 (where I3 is the identity matrix of order 3) are
A
3, 0, 3
B
0, 3, 6
C
1, 0, $$-$$6
D
3, 3, 6
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