Complete GATE MA 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.

Paper practice 65 questionsPage 4 of 22

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.
Diagram for Mathematics question 10

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Question 11

Open question
MAMCQ1 markNeeds review
Let

be the vector space of all

real matrices over

under usual matrix addition and scalar multiplication. Let

be the set of all

real upper triangular matrices. Which one of the following is TRUE?
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Question 12

Open question
MAMCQ1 markNeeds review
Let

be the integral defined as follows:

If the order of the integration is changed, then which one of the following is the correct expression for

?
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