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 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

A missile is fired from the ground level rises x meters vertically upwards in t sec, where $$x = 100t - {{25} \over 2}{t^2}$$. The maximum height reached is

A
100 m
B
300 m
C
200 m
D
125 m
4
WB JEE 2023
MCQ (Single Correct Answer)
+2
-0.5
Change Language

The portion of the tangent to the curve $${x^{{2 \over 3}}} + {y^{{2 \over 3}}} = {a^{{2 \over 3}}},a > 0$$ at any point of it, intercepted between the axes

A
varies as abscissa
B
varies as ordinate
C
is constant
D
varies as the product of abscissa and ordinate
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