GATE 2024 Engg. Mathematics Quiz 2

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Question 1

If a function is defined in the interval (0, a), then definite integral of f(x) i.e. is called improper integral when;

• ARange of integration is infinite and integrand is unbounded
• BRange of integration is definite and integrand is unbounded
• CRange of integration is definite and integrand is bounded
• DNone of these

Question 2

The differential equation whose solution is A x² + By² = 1 where A and B are arbitrary constants, is of

• Asecond order and second degree
• Bfirst order and second degree
• Cfirst order and first degree
• Dsecond order and first degree

Question 3

The solution of the differential equation is

• A
• B
• C
• D

Question 4

The value of definite integral is

• A
• B
• C
• D

Question 5

The solution of differential equation is

• AUnsolvable
• B
• C
• D

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