2026 · Paper 1

Complete GATE BT 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

As shown in the figure, circle



with center



and radius



touches the square



at points



and



while circle



with center



and radius



touches the square



at points



and



. The two circles touch each other at



.

Given



and



,



_____ cm.



Your answerChoose one option.

A.



B.



C.



D.



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Question 11

Open question

BTMCQ1 markNeeds review

Consider the two functions



and



. Which of the following is the value of



as



?

Your answerChoose one option.

A.

0

B.

6

C.

8

D.



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Question 12

Open question

BTMCQ1 markNeeds review

Which of the following is one of the eigenvalues for the matrix given below?



Your answerChoose one option.

A.

1

B.

3

C.

5

D.

7

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