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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Consider the following statements regarding $2D$ transforms in computer graphics:
$S1$: [
]
is a $2 \times 2$ matrix that reflects any $2D$ point about the $X$-axis.
$S2$: A $2 \times 2$ matrix which mirrors any $2D$ point about the $X$-axis, is a rotation matrix.
What can you say about the statements $S1$ and $S2$?
$S1$: [
| 1 | 0 |
| 0 | -1 |
$S2$: A $2 \times 2$ matrix which mirrors any $2D$ point about the $X$-axis, is a rotation matrix.
What can you say about the statements $S1$ and $S2$?
Solution
Given matrix is
[| 1 | 0 |
| 0 | -1 |
When this matrix is applied on point $(x,y)$, then the point becomes $(x,-y)$.
This means the sign of $x$ remains same and the sign of $y$ changes.
So, this represents reflection about the $X$-axis.
Therefore, statement $S1$ is true.
But reflection about the $X$-axis is not a rotation matrix.
Therefore, statement $S2$ is false.
Hence, the correct answer is Option 2.
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