Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

The co-ordinates of the point on the curve $$y = {x^2} - 3x + 2$$ where the tangent is perpendicular to the straight line y = x are

A
(0, 2)
B
(1, 0)
C
($$-$$1, 6)
D
(2, $$-$$2)
2
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The acceleration of a particle starting from rest moving in a straight line with uniform acceleration is 8m/sec2. The time taken by the particle to move the second metre is

A
$${{\sqrt 2 - 1} \over 2}$$ sec
B
$${{\sqrt 2 + 1} \over 2}$$ sec
C
$$(1 + \sqrt 2 )$$ sec
D
$$(\sqrt 2 - 1)$$ sec
3
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25
Let $p(x)$ be a real polynomial of least degree which has a local maximum at $x=1$ and a local minimum at $x=3$. If $p(1)=6$ and $p(3)=2$, then $p^{\prime}(0)$ is equal to :
A
8
B
9
C
3
D
6
4
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25

The function $f(x)=2 x^3-3 x^2-12 x+4, x \in \mathbb{R}$ has

A
two points of local maximum.
B
two points of local minimum.
C
one local maximum and one local minimum.
D
neither maximum nor minimum.
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