2026 · Paper 1

Complete GATE IN 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 question

GAMCQ2 marksNeeds review

Circles



,



, and



, with centers



,



, and



, and radii



,



, and



, respectively, touch each other as shown in the following figure. Given



cm,



cm and the angle



is



,



_____ cm.



Your answerChoose one option.

A.



B.



C.



D.



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Question 11

Open question

INMCQ1 markNeeds review

A matrix



satisfies



where



is a



identity matrix.

The set of all possible eigenvalues of matrix



is ___.

Your answerChoose one option.

A.



B.



C.



D.



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Question 12

Open question

INMCQ1 markNeeds review

Which one among the following statements is true for the function



?

Your answerChoose one option.

A.



is discontinuous but not differentiable at



.

B.



is discontinuous and differentiable at



.

C.



is continuous but not differentiable at



.

D.



is continuous and differentiable at



.

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