1
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
Let $A$ be the set of points in the $X Y$-plane which are equidistant from $P(-1,0)$ and $Q(1,0)$. Let $B$ be the set of points in the $X Y$-plane which are equidistant from $A$ and $Q$. If $(5, y)$ is a point in $B$, then what is the value of $y^2$ ?
2
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
Consider the lines $L_1$ and $L_2$ given below:
$$ \begin{gathered} L 1: x=2+\lambda, y=3+2 \lambda, z=4+3 \lambda \\ L 2: x=4+\lambda, y=4, z=4+\lambda \end{gathered} $$
If $(2,3,4)$ is the point of $L_1$ that is closest to $L_2$, then which point of $L_2$ is closest to $L_1$ ?
3
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
Let $a_1, a_2, a_3, \ldots$ be a sequence of real numbers. Let $s_n=a_1+a_2+\cdots+a_n$. If $2 s_n=$ $n\left(c+a_n\right)$ for some real number. for some real number $c$ and for all $n=1,2,3, \ldots$, then which one of the following statements is Correct?
4
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
Let $f: \mathbf{R} \rightarrow \mathbf{R}$ be a strictly decreasing function with $|f(t)|<\pi / 2$ for all $t \in \mathbf{R}$. Let $g:[0, \pi] \rightarrow$ R be a function defined by $g(t)=\sin (f(t))$. Which one of the following statements is Correct?
Paper analysis
Total Questions
Biology
15
Chemistry
15
Mathematics
15
Physics
15
More papers of IAT (IISER)
IAT (IISER)
Papers
2024
2023
2022
2020