WB JEE 2025 | Application of Integration Question 9 | Mathematics

WB JEE 2025

MCQ (Single Correct Answer)

-0.25

Let $p(x)$ be a real polynomial of least degree which has a local maximum at $x=1$ and a local minimum at $x=3$. If $p(1)=6$ and $p(3)=2$, then $p^{\prime}(0)$ is equal to :

WB JEE 2024

MCQ (Single Correct Answer)

-0.25

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

16 sq. unit

$$\frac{32}{3}$$ sq. unit

$$\frac{16}{3}$$ sq. unit

32 sq. unit

WB JEE 2024

MCQ (Single Correct Answer)

-0.25

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

has at least one root in $$(1,2)$$

has no root in $$(1,2)$$

is not at all solvable

has infinitely many roots in $$(-2,1)$$

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

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

$${{11} \over 9}$$ sq. unit

$${{32} \over 3}\sqrt 6 $$ sq. unit

$${{16} \over 3}$$ sq. unit

$${{24} \over 5}$$ sq. unit

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