1
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 $L_1$ ?

A

$(3,4,3)$

B

$(3,4,4)$

C

$(5,4,5)$

D

$(4,4,4)$

2
IAT (IISER) 2023
MCQ (Single Correct Answer)
+4
-1
Let $L$ be a straight line passing through the origin, and it makes angles $\alpha, \beta$ and $\gamma$ with the positive $X, Y$ and $Z$-axes, respectively. What is the value of $\cos 2 \alpha+\cos 2 \beta+\cos 2 \gamma$ ?
A
-3
B
3
C
-1
D
1
IAT (IISER) Subjects
EXAM MAP