GATE-ES SERIES Engineering-mathematics
Calculus
6 previous year questions.
Volume: 6 Ques
Yield: Medium
High-Yield Trend
2
2025 4
2021 Chapter Questions 6 MCQs
01
PYQ 2021
medium
engineering-mathematics ID: gate-es-
Evaluate the limit:
= _______.
1
0
2
1
3
2
4
-1
02
PYQ 2021
medium
engineering-mathematics ID: gate-es-
The ordinary differential equation
has as the dependent variable and as the independent variable. Which of the following classification(s) is/are applicable to the equation?
1
Linear
2
Non-linear
3
First order
4
Second order
03
PYQ 2021
medium
engineering-mathematics ID: gate-es-
A tangent is drawn on the curve of the function at the point . The slope of the tangent is _______.
1
3
2
6
3
9
4
12
04
PYQ 2021
medium
engineering-mathematics ID: gate-es-
Consider a function
As , and at . The value of \[
\frac{dy}{dx} \text{ at } x = 0 \text{ is } _______ \text{ (answer in integer).}
05
PYQ 2025
medium
engineering-mathematics ID: gate-es-
The value of is ________
06
PYQ 2025
medium
engineering-mathematics ID: gate-es-
The value of is ________