1
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
$F(x)=\int_0^{e^x}\left(t^3+2 t^2-t-2\right) d t$, then for how many real numbers $x$ does $F^{\prime}(x)=0$ ?
2
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
Let $C$ be a circle which passes through $(-2,1)$ and $(0,3)$ and whose centre lies on the line $y-x=1$. Then which of the following points lies on $C$ ?
3
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
For what value of $t$ does $f(x)=x^3+t x^2+(2-t) x-3$ have only real roots?
4
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
If $f(x)=a x^2+b x+c$ and $f\left(\frac{1}{n}\right)=\frac{n+1}{n^2}$ for all $n \in N$, then what is the value of $\lim \limits_{x \rightarrow 0} f^{\prime}(x)$ ?
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Biology 15
Chemistry 15
Mathematics 15
Physics 15
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