Environmental Science and Engineering
2026 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE ES 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
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.
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Open questionESMCQ1 markNeeds review
If
, then
is ______.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 questionESMCQ1 markNeeds review
The correct integral of
(assuming integral constant as c) is ______.Your answerChoose one option.
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