1
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
2
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
$$\sqrt 6 $$
3
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
$$2{e^{ - {1 \over {\sqrt 2 }}}}$$
4
WB JEE 2022
MCQ (Single Correct Answer)
+2
-0.5
Change Language

A straight line meets the co-ordinate axes at A and B. A circle is circumscribed about the triangle OAB, O being the origin. If m and n are the distances of the tangent to the circle at the origin from the points A and B respectively, the diameter of the circle is

A
m(m + n)
B
m + n
C
n(m + n)
D
$${1 \over 2}$$(m + n)
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