The bridge connects two hills 100 feet apart. The arch on the bridge is in a parabolic form. The highest point on the bridge is 10 feet above the road at the middle of the bridge as seen in the figure.
The bridge connects two hills - Teachoo.jpg


Based on the information given above, answer the following questions:

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Question 1

The equation of the parabola designed on the bridge is

(a) x 2 = 250๐‘ฆ

(b) x 2 = −250๐‘ฆ

(c) y 2 = 250๐‘ฅ

(d) y 2 = 250 ๐‘ฆ

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Question 2

The value of the integral ∫1_(-50)^50x 2 /250 ๐‘‘๐‘ฅ is

(a) 1000/3

(b) 250/3

(c) 1200

(d) 0

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Question 3

The value of the integral ∫1_(-50) 50 x 2  ๐‘‘๐‘ฅ is _________ function.

(a) Even

(b) Odd

(c) Neither odd nor even

(d) None

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Question 4

The area formed by the curve x 2 =250y, x axis, y = 0 and y = 10 is

(a) (1000√2)/3

(b) 4/3

(c) 1000/3

(d) 0

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Question 5
The area formed between x 2 = 250y, y axis, y=2 and y=4 is
(a) 1000/3
(b) 0
(c) (1000√2)/3
(d) none of these

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  1. Chapter 8 Class 12 Application of Integrals (Term 2)
  2. Serial order wise

Transcript

The bridge connects two hills 100 feet apart. The arch on the bridge is in a parabolic form. The highest point on the bridge is 10 feet above the road at the middle of the bridge as seen in the figure. Based on the information given above, answer the following questions: Question 1 The equation of the parabola designed on the bridge is (a) ๐‘ฅ^2 = 250๐‘ฆ (b) ๐‘ฅ^2 = โˆ’250๐‘ฆ (c) ๐‘ฆ^2 = 250๐‘ฅ (d) ๐‘ฆ^2 = 250 ๐‘ฆ(b) ๐‘ฅ^2 = โˆ’250๐‘ฆ Question 2 The value of the integral โˆซ1_(โˆ’50)^50โ–’๐‘ฅ^2/250 ๐‘‘๐‘ฅ is (a) 1000/3 (b) 250/3 (c) 1200 (d) 0 (a) 1000/3 Question 3 The value of the integral โˆซ1_(โˆ’50)^50โ–’๐‘ฅ^2 ๐‘‘๐‘ฅ is _________ function. (a) Even (b) Odd (c) Neither odd nor even (d) None(a) Even Question 4 The area formed by the curve ๐‘ฅ^2=250๐‘ฆ, ๐‘ฅ axis, ๐‘ฆ=0 and ๐‘ฆ=10 is (a) (1000โˆš2)/3 (b) 4/3 (c) 1000/3 (d) 0(c) 1000/3 Question 5 The area formed between ๐‘ฅ^2=250๐‘ฆ, ๐‘ฆ axis, ๐‘ฆ=2 and ๐‘ฆ=4 is (a) 1000/3 (b) 0 (c) (1000โˆš2)/3 (d) none of these(d) none of these

Chapter 8 Class 12 Application of Integrals (Term 2)
Serial order wise

About the Author

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.