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GATE DA 2024 Q53: Which two-class datasets are linearly separable

Question

Consider the following figures representing datasets consisting of two-dimensional features with two classes denoted by circles and squares.

Four scatter plots (i) to (iv) of circles and squares on a 3 by 3 grid
Tap the figure to enlarge

Which of the following is/are TRUE?

Try it: multiple select: one or more correct options

Select one or more options
Select all correct options. No negative marking, no partial marks.
Show answer and explanation

Answer: A, D (official GATE 2024 final answer key)

Concept used: Two classes are linearly separable if one straight line puts all circles on one side and all squares on the other.

First step: (ii) has a circle surrounded by squares and (iii) is an XOR pattern, so no line works there; (i) and (iv) split along a diagonal.

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Source: official GATE 2024 DA question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key

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