In homogenous coordinate system \((x, y, z)\) the points with \(z = 0\) are called
UGC NET - 2013,
Answer: D
In the homogeneous coordinate system \((x, y, z)\) the points with \(z = 0\) are called points at infinity. A point \((x, y)\) is written \((x, y, 1)\), or more generally \((hx, hy, h)\), and the Cartesian point is found by dividing by the last coordinate, which cannot be done when it is zero; such a point stands for a direction, a point at infinity. The answer is (D).
Cartesian points have a non-zero last coordinate, and the origin is \((0, 0, 1)\). 'Parallel points' is not a standard term.
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