1
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
2
WB JEE 2021
MCQ (Single Correct Answer)
+2
-0.5
Change Language
The coefficient of a3b4c5 in the expansion of (bc + ca + ab)6 is
A
$${{12!} \over {3!4!5!}}$$
B
$${{6!} \over {3!}}$$
C
33
D
$$3\,.\,\left( {{{6!} \over {3!3!}}} \right)$$
3
WB JEE 2021
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Three unequal positive numbers a, b, c are such that a, b, c are in G.P. while $$\log \left( {{{5c} \over {2a}}} \right),\log \left( {{{7b} \over {5c}}} \right),\log \left( {{{2a} \over {7b}}} \right)$$ are in A.P. Then a, b, c are the lengths of the sides of
A
an isosceles triangle
B
an equilateral triangle
C
a scalene triangle
D
a right-angled triangle
4
WB JEE 2021
MCQ (Single Correct Answer)
+2
-0.5
Change Language
The determinant $$\left| {\matrix{ {{a^2} + 10} & {ab} & {ac} \cr {ab} & {{b^2} + 10} & {bc} \cr {ac} & {bc} & {{c^2} + 10} \cr } } \right|$$ is
A
divisible by 10 but not by 100
B
divisible by 100
C
not divisible by 100
D
not divisible by 10
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