1
WB JEE 2022
MCQ (Single Correct Answer)
+2
-0.5
Change Language

If the transformation $$z = \log \tan {x \over 2}$$ reduces the differential equation

$${{{d^2}y} \over {d{x^2}}} + \cot x{{dy} \over {dx}} + 4y\cos e{c^2}x = 0$$ into the form $${{{d^2}y} \over {d{z^2}}} + ky = 0$$ then k is equal to

A
$$-$$4
B
4
C
2
D
$$-$$2
2
WB JEE 2022
MCQ (Single Correct Answer)
+2
-0.5
Change Language

From the point ($$-$$1, $$-$$6), two tangents are drawn to y2 = 4x. Then the angle between the two tangents is

A
$$\pi$$/3
B
$$\pi$$/4
C
$$\pi$$/6
D
$$\pi$$/2
3
WB JEE 2022
MCQ (Single Correct Answer)
+2
-0.5
Change Language

If $${\overrightarrow \alpha }$$ is a unit vector, $$\overrightarrow \beta = \widehat i + \widehat j - \widehat k$$, $$\overrightarrow \gamma = \widehat i + \widehat k$$ then the maximum value of $$\left[ {\overrightarrow \alpha \overrightarrow \beta \overrightarrow \gamma } \right]$$ is

A
3
B
$$\sqrt 3 $$
C
2
D
$$\sqrt 6 $$
4
WB JEE 2022
MCQ (Single Correct Answer)
+2
-0.5
Change Language

The maximum value of $$f(x) = {e^{\sin x}} + {e^{\cos x}};x \in R$$ is

A
2e
B
$$2\sqrt e $$
C
$$2{e^{{1 \over {\sqrt 2 }}}}$$
D
$$2{e^{ - {1 \over {\sqrt 2 }}}}$$
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