Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The area bounded by y2 = 4x and x2 = 4y is

A
$${{20} \over 3}$$ sq. units
B
$${{16} \over 3}$$ sq. units
C
$${{14} \over 3}$$ sq. units
D
$${{10} \over 3}$$ sq. units
2
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25

The area bounded by the curves $$x=4-y^2$$ and the Y-axis is

A
16 sq. unit
B
$$\frac{32}{3}$$ sq. unit
C
$$\frac{16}{3}$$ sq. unit
D
32 sq. unit
3
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25

Consider the function $$\mathrm{f}(x)=(x-2) \log _{\mathrm{e}} x$$. Then the equation $$x \log _{\mathrm{e}} x=2-x$$

A
has at least one root in $$(1,2)$$
B
has no root in $$(1,2)$$
C
is not at all solvable
D
has infinitely many roots in $$(-2,1)$$
4
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25

Area of the figure bounded by the parabola $${y^2} + 8x = 16$$ and $${y^2} - 24x = 48$$ is

A
$${{11} \over 9}$$ sq. unit
B
$${{32} \over 3}\sqrt 6 $$ sq. unit
C
$${{16} \over 3}$$ sq. unit
D
$${{24} \over 5}$$ sq. unit
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