1
WB JEE 2024
MCQ (More than One Correct Answer)
+2
-0
Change Language

A square with each side equal to '$$a$$' above the $$x$$-axis and has one vertex at the origin. One of the sides passing through the origin makes an angle $$\alpha$$ $$\left(0<\alpha< \frac{\pi}{4}\right)$$ with the positive direction of the axis. Equation of the diagonals of the square

A
$$\mathrm{y}(\cos \alpha-\sin \alpha)=x(\sin \alpha+\cos \alpha)$$
B
$$y(\cos \alpha+\sin \alpha)=x(\cos \alpha-\sin \alpha)$$
C
$$y(\sin \alpha+\cos \alpha)+x(\cos \alpha-\sin \alpha)=\mathrm{a}$$
D
$$\mathrm{y}(\cos \alpha-\sin \alpha)+x(\cos \alpha+\sin \alpha)=\mathrm{a}$$
2
WB JEE 2024
MCQ (More than One Correct Answer)
+2
-0
Change Language

If $$\mathrm{ABC}$$ is an isosceles triangle and the coordinates of the base points are $$B(1,3)$$ and $$C(-2,7)$$. The coordinates of $$A$$ can be

A
$$(1,6)$$
B
$$\left(-\frac{1}{8}, 5\right)$$
C
$$\left(\frac{5}{6}, 6\right)$$
D
$$\left(-7, \frac{1}{8}\right)$$
3
WB JEE 2024
MCQ (More than One Correct Answer)
+2
-0
Change Language

$$ \text { The points of extremum of } \int_\limits0^{x^2} \frac{t^2-5 t+4}{2+e^t} d t \text { are } $$

A
$$\pm$$ 1
B
$$\pm$$ 2
C
$$\pm$$ 3
D
$$\pm$$ $$\sqrt2$$
4
WB JEE 2024
MCQ (More than One Correct Answer)
+2
-0
Change Language

Choose the correct statement :

A
$$x+\sin 2 x$$ is a periodic function
B
$$x+\sin 2 x$$ is not a periodic function
C
$$\cos (\sqrt{x}+1)$$ is a periodic function
D
$$\cos (\sqrt{x}+1)$$ is not a periodic function
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