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2questions
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Three Dimensional Geometry - Algebra - Mathematics Previous Year Questions
Practice Three Dimensional Geometry - Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.
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Three Dimensional Geometry question pattern
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2questions
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2
100%
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| Paper | Year / session | Questions in this view | Open |
|---|---|---|---|
| IAT IISER 2024 | 2024 | 1 | View paper |
| IAT IISER 2023 | 2023 | 1 | View paper |
All Three Dimensional Geometry previous year questions
Practice every matching question in batches of 20, with every available option.
2023 · Mathematics · Algebra · Three Dimensional Geometry
IAT IISER 2023
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 $\cos 2 \alpha+\cos 2 \beta+\cos 2 \gamma$ ?
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2024 · Mathematics · Algebra · Three Dimensional Geometry
IAT IISER 2024
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 $L_1$ ?