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

Edit

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

Edit

Question 3

Question MCQ▾

The derivative of is

Choices

Choice (4)Response

a.

b.

0

c.

1

d.

All of the above

Edit

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

Edit

Question 5

Question MCQ▾

Let , where p is a constant then, is

Choices

Choice (4)Response

a.

b.

c.

d.

Independent of

Edit

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.

Edit

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

Edit