Differential Calculus [NEST (National Entrance Screening Test-NISER) Mathematics]: Questions 1 - 7 of 9
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Question 1
Appeared in Year: 2013
Question MCQ▾
The sum of non-real roots of the polynomial equation
Choices
Choice (4) | Response | |
---|---|---|
a. | Equals 0 | |
b. | Has absolute value bigger than 1 | |
c. | Lies between 0 and 1 | |
d. | Lies between -1 and 0 |
Question 2
Appeared in Year: 2013
Question MCQ▾
The sum of non – real roots of the polynomial equation . (Model Paper)
Choices
Choice (4) | Response | |
---|---|---|
a. | Lies between 0 and 1 | |
b. | Equals 0 | |
c. | Lies between – 1 and 0 | |
d. | Has absolute value bigger than 1 |
Question 3
Question 4
Question MCQ▾
The slope of tangent to the curve at the point is
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | None of the above |
Question 5
Question MCQ▾
Let , where p is a constant then, is
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | Independent of |
Question 6
Appeared in Year: 2017
Question MCQ▾
Let be an odd function and suppose for all . Then
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 7
Appeared in Year: 2020
Question MCQ▾
Let for . Consider the following statements
I. f has a zero in
II. f is monotone in
Then
Choices
Choice (4) | Response | |
---|---|---|
a. | I and II are false | |
b. | I and II are true | |
c. | I is true and II are false | |
d. | I is false and II are true |