CUET Mathematics 2023 Mathematics Set 1

In a school, an auditorium was used for its cultural activities. The shape of…

CUET Mathematics 2023 · Mathematics · 4 questions

In a school, an auditorium was used for its cultural activities. The shape of the floor of the auditorium is rectangular with dimensions \(x\) and \(y\) (\(x>y\)), has fixed perimeter \(p\). Based on the above information answer the following questions.

Question 1

If \(x\) and \(y\) represent the length and breadth of the rectangular region, then:

A. \(p = x+y\)
B. \(p^2 = x^2+y^2\)
C. \(p = 2(x+y)\)
D. \(p = x+2y\)

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Question 2

The value of \(x\), for which the area of the floor of the auditorium is maximum, is:

A. \(\frac{p}{4}\)
B. \(\frac{p}{2}\)
C. \(p\)
D. \(\frac{p}{3}\)

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Question 3

The value of \(y\), for which the area of the floor of the auditorium is maximum, is:

A. \(\frac{p}{2}\)
B. \(\frac{p}{3}\)
C. \(\frac{p}{4}\)
D. \(\frac{p}{16}\)

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Question 4

Maximum area of the floor is:

A. \(\frac{p^2}{2}\)
B. \(\frac{p^2}{16}\)
C. \(\frac{p^2}{28}\)
D. \(\frac{p^2}{65}\)

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