Case Based Questions (MCQ)

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Chapter 8 Class 12 Application of Integrals
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Question 1 - Case Based Questions (MCQ) - Chapter 8 Class 12 Application of Integrals

Last updated at August 2, 2026 by

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:

part 2 - Question 1 - Case Based Questions (MCQ) - Serial order wise - Chapter 8 Class 12 Application of Integrals

Question 1

The equation of the parabola designed on the bridge is

(a) x 2 = 250š‘¦

(b) x 2 = −250š‘¦

(c) y 2 = 250š‘„

(d) y 2 = 250 š‘¦

part 3 - Question 1 - Case Based Questions (MCQ) - Serial order wise - Chapter 8 Class 12 Application of Integrals

Question 2

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

(a) 1000/3

(b) 250/3

(c) 1200

(d) 0

part 4 - Question 1 - Case Based Questions (MCQ) - Serial order wise - Chapter 8 Class 12 Application of Integrals

Question 3

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

(a) Even

(b) Odd

(c) Neither odd nor even

(d) None

part 5 - Question 1 - Case Based Questions (MCQ) - Serial order wise - Chapter 8 Class 12 Application of Integrals

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

part 6 - Question 1 - Case Based Questions (MCQ) - Serial order wise - Chapter 8 Class 12 Application of Integrals

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

part 7 - Question 1 - Case Based Questions (MCQ) - Serial order wise - Chapter 8 Class 12 Application of Integrals

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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) š‘„^2 = 250š‘¦ (b) š‘„^2 = āˆ’250š‘¦ (c) š‘¦^2 = 250š‘„ (d) š‘¦^2 = 250 š‘¦(b) š‘„^2 = āˆ’250š‘¦ Question 2 The value of the integral āˆ«1_(āˆ’50)^50ā–’š‘„^2/250 š‘‘š‘„ is (a) 1000/3 (b) 250/3 (c) 1200 (d) 0 (a) 1000/3 Question 3 The value of the integral āˆ«1_(āˆ’50)^50ā–’š‘„^2 š‘‘š‘„ is _________ function. (a) Even (b) Odd (c) Neither odd nor even (d) None(a) Even Question 4 The area formed by the curve š‘„^2=250š‘¦, š‘„ axis, š‘¦=0 and š‘¦=10 is (a) (1000āˆš2)/3 (b) 4/3 (c) 1000/3 (d) 0(c) 1000/3 Question 5 The area formed between š‘„^2=250š‘¦, š‘¦ axis, š‘¦=2 and š‘¦=4 is (a) 1000/3 (b) 0 (c) (1000āˆš2)/3 (d) none of these(d) none of these

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