Data Science and Artificial Intelligence
2026 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE DA 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 10–12 of 65. Imported answers require review unless explicitly marked reviewed.
Question 10
Open questionGAMCQ2 marksNeeds review
In the given figure,
,
, and
are three points on a circle of radius 10 cm with
as its center,
, and
. The figure is representative. The area of the shaded region
is ____________ cm
. 
Your answerChoose one option.
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Open questionDAMCQ1 markNeeds review
For a classification problem, Principal Component Analysis (PCA) has been used to reduce the dimensionality of a feature space from 100 to 10.
Which of the following options is true about the angle
between the first and the tenth principal components?Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 12
Open questionDAMCQ1 markNeeds review
Consider that you are training a classifier for a 10-class classification problem. Each input is represented as a 512-dimensional vector. There are 1000 samples, out of which first 100 will be used for testing. Let Leave-One-Out-Cross-Validation (LOOCV) be used for selection of the classifier model before testing.
Which of the following options is the correct number of validation splits that will be generated?
Your answerChoose one option.
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