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 18, 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 = 250๐‘ฆ

(b) x 2 = โˆ’250๐‘ฆ

(c) y 2 = 250๐‘ฅ

(d) y 2 = 250 ๐‘ฆ

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 โˆซ1_(-50)^50x 2 /250 ๐‘‘๐‘ฅ 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 โˆซ1_(-50) 50 x 2 ย ๐‘‘๐‘ฅ 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) (1000โˆš2)/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) (1000โˆš2)/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) 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

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