Maharashtra State BoardHSC Commerce 12th Board Exam
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Choose the correct alternative : The area of the region bounded by y2 = 4x, the X-axis and the lines x = 1 and x = 4 is _______. - Mathematics and Statistics

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MCQ

Choose the correct alternative :

The area of the region bounded by y2 = 4x, the X-axis and the lines x = 1 and x = 4 is _______.

Options

  • 28 sq. units

  • 3 sq. units

  • `(56)/(3)"sq. units"`

  • `(63)/(7)"sq. units"`

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Solution


Required area = `2int_1^4y*dx`

= `2int_1^4 2sqrt(x)*dx`

= `4[x^(3/2)/(3/2)]_1^4`

= `(8)/(3)[(4)^(3/2) - (1)^(3/2)]`

= `(8)/(3)(8 - 1)`

= `(56)/(3)"sq.units"`.

Concept: Area Under Simple Curves
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 7 Applications of Definite Integration
Miscellaneous Exercise 7 | Q 1.2 | Page 157
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