1
WB JEE 2021
MCQ (Single Correct Answer)
+2
-0.5
Change Language
The $$\mathop {\lim }\limits_{x \to \infty } {\left( {{{3x - 1} \over {3x + 1}}} \right)^{4x}}$$ equals
A
1
B
0
C
e$$-$$8/3
D
e$$-$$4/9
2
WB JEE 2021
MCQ (Single Correct Answer)
+2
-0.5
Change Language
The area bounded by the parabolas $$y = 4{x^2},y = {{{x^2}} \over 9}$$ and the straight line y = 2 is
A
$${{20\sqrt 2 } \over 3}$$ sq. unit
B
$$10\sqrt 5 $$ sq. unit
C
$${{10\sqrt 3 } \over 7}$$ sq. unit
D
$$10\sqrt 2 $$ sq. unit
3
WB JEE 2021
MCQ (Single Correct Answer)
+2
-0.5
Change Language
If a($$\alpha$$ $$\times$$ $$\beta$$) + b($$\beta$$ $$\times$$ $$\gamma$$) + c($$\gamma$$ + $$\alpha$$) = 0, where a, b, c are non-zero scalars, then the vectors $$\alpha$$, $$\beta$$, $$\gamma$$ are
A
parallel
B
non-coplanar
C
coplanar
D
mutually perpendicular
4
WB JEE 2021
MCQ (Single Correct Answer)
+2
-0.5
Change Language
If the tangent at the point P with co-ordinates (h, k) on the curve y2 = 2x3 is perpendicular to the straight line 4x = 3y, then
A
(h, k) = (0, 0) only
B
(h, k) = $$\left( {{1 \over 8}, - {1 \over {16}}} \right)$$ only
C
(h, k) = (0, 0) or $$\left( {{1 \over 8},{1 \over {16}}} \right)$$
D
no such point P exists
EXAM MAP