Mathematics for Data Science I · Quiz 1 · Jan 2026

Mathematics for Data Science I · Quiz 1 · Jan 2026

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Question 2 MCQ · 0.0 marks

6406536344074.

Instructions has been mentioned above.

6406536344075.

This Instructions is just for a reference & not for an evaluation.

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Question 3 NAT · 5.0 marks

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Question 4 MSQ · 4.0 marks

6406536344077.

a function

6406536344078.

reflexive

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transitive

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symmetric

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Question 5 MSQ · 4.0 marks

Which of the following options is/are true?

6406536344087.

If

and

are the

-intercept and

-intercept of the line

, respectively, then

.

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The

-intercept of a line is the perpendicular distance of the line from the origin.

6406536344089.

The lines

and

are perpendicular to each other.

6406536344090.

The distance between the two parallel lines

and

is

.

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Question 6 MSQ · 4.0 marks

Consider the polynomial

, where

and

. Suppose

is the smallest root of

. From the options below, choose the conditions that ensure that

is strictly decreasing in

.

6406536344101.

is odd and

.

6406536344102.

is odd and

.

6406536344103.

is even and

.

6406536344104.

is even and

.

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Question 7 MSQ · 4.0 marks

Consider two polynomials

and

. Which of the following options is/are true?

6406536344105.

as

.

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as

.

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has at most 5 turning points.

6406536344108.

has at most 5 turning points.

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Question 8 NAT · 3.0 marks

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Question 9 MCQ · 4.0 marks

6406536344082.

6406536344083.

6406536344084.

6406536344085.

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Question 10 NAT · 4.0 marks

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Question 12 NAT · 4.0 marks

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Question 13 MSQ · 5.0 marks

6406536344093.

The quadratic equations

and

both have two distinct real roots if and only if

lies between

and

.

6406536344094.

The quadratic equations

and

both have two distinct real roots if and only if

lies between

and

.

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The vertex of

corresponds to the maximum of the function

.

6406536344096.

The vertex of

corresponds to the maximum of the function

.

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Question 14 MSQ · 5.0 marks

Consider the polynomial function

. Choose the set of correct options.

6406536344097.

is strictly decreasing when

.

6406536344098.

Total number of turning points of

are

.

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is strictly increasing when

.

6406536344100.

There are exactly

points on

where the slope of the tangent is

.

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