2026 · Paper 1

Complete GATE XE 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 10–12 of 197. 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

XE-AMCQ1 markNeeds review

For the complex function



consider the following two statements

P:



is not analytic at



.

Q:



does not satisfy the Cauchy-Riemann equations along the



-axis.

Then, which one of the following statements is true?

Your answerChoose one option.

A.

P is false and Q is true

B.

P is true and Q is false

C.

Both P and Q are true, and Q implies P

D.

Both P and Q are true, but Q does not imply P

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Question 12

Open question

XE-AMCQ1 markNeeds review

Let



be the circle



oriented counterclockwise. Then, the value of the line integral



is

Your answerChoose one option.

A.



B.



C.



D.



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