1
WB JEE 2026
MCQ (Single Correct Answer)
+1
-0.25
Which of the following statements is always true?
2
WB JEE 2026
MCQ (Single Correct Answer)
+1
-0.25
Let domain and range of $f(x)$ and $g(x)$ is $[0, \infty)$. If $f(x)$ is an increasing function, $g(x)$ is a decreasing function, $h(x)= f\{g(x)\}, h(0)=0$ and $p(x)=h\left(x^3-2 x^2+2 x\right)-h(4)$, then for all $x \in(0,2)$
3
WB JEE 2026
MCQ (Single Correct Answer)
+2
-0.5
A figure is bounded by the curves $y=x^2+1, y=0, x=0$ and $x=1$. The point at which a tangent should be drawn to the curve $y=x^2+1$ for it to cut off trapezium of the greatest area from the figure is
4
WB JEE 2026
MCQ (Single Correct Answer)
+2
-0.5
Let $f(x)$ be a twice differentiable function in $[1,3]$ and $f(1)=f(3)$. Further if $\left|f^{\prime \prime}(x)\right| \leq 2$, then for all $x$ in $[1,3]$
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