1
WB JEE 2021
+2
-0.5
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 2020
+1
-0.25
If the tangent to the curve y2 = x3 at (m2, m3) is also a normal to the curve at (m2, m3), then the value of mM is
A
$$- {1 \over 9}$$
B
$$- {2 \over 9}$$
C
$$- {1 \over 3}$$
D
$$- {4 \over 9}$$
3
WB JEE 2020
+1
-0.25
Let $$f(x) = {x^{13}} + {x^{11}} + {x^9} + {x^7} + {x^5} + {x^3} + x + 12$$.

Then
A
f(x) has 13 non-zero real roots
B
f(x) has exactly one real root
C
f(x) has exactly one pair of imaginary roots
D
f(x) has no real root
4
WB JEE 2020
+2
-0.5
In open interval $$\left( {0,\,{\pi \over 2}} \right)$$
A
cos x + x sin x < 1
B
cos x + x sin x >1
C
no specific order relation can be ascertained between cos x + x sin x and 1
D
$$\cos \,x + x\,\sin \,x < {1 \over 2}$$
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
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Calculus
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