A-AS Level (CIE) Mathematics Paper-1: Specimen Questions with Answers 18 - 20 of 20

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Question 18

Question

MCQ▾

A rectangle with sides and is divided into squares of unit length by drawing Parallel lines as shown in the diagram then the number of rectangles possible with odd side length is

Squares of Unit Length by Drawing Parallel Lines

Choices

Choice (4)

a.

b.

c.

d.

Answer

c.

Explanation

Combination:

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter.

There are vertical and horizontal lines

To get required rectangle, we should select two horizontal lines one even numbered and one odd numbered similarly two vertical lines.

The number of rectangles is then

i.e.. ,

Subtopic: Fundamental principle of counting

Question 19

Question

MCQ▾

If , is equal to ________

Choices

Choice (4)

a.

b.

1

c.

0

d.

Answer

c.

Explanation

Definite Integral Definition:

The definite integral of a real-valued function with respect to a real variable on an interval is expressed as . Here, Integration symbol, Lower limit, Upper limit, Integrand, Integrating agent

Subtopic: Evaluation of definite integrals

Question 20

Question

MCQ▾

________

Choices

Choice (4)

a.

b.

c.

d.

Answer

d.

Explanation

Integration as an Inverse Process of Differentiation:

More generally, if there is a function such that , then for any arbitrary real number , (also called constant of integration)

Thus, denotes a family of anti-derivatives of .

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