text: ## Book: RD Sharma - Mathematics (Volume 2)
  
  ### Chapter: 21. Areas of Bounded Regions
  
  #### Subject: Maths - Class 12th
  
  ##### Q. No. 5 of Exercise 21.2
  
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  5
  ##### Find the area of the region bounded by the curve ay2 = x3, they y-axis and the lines y = a and y = 2a.
  
  Similarly as problem 1,
  
  Area of the bounded region = Area under (y = 2a) and (ay2 = x3) – Area under (y = a) and (ay2 = x3)
  
  Area under (y = 2) and (ay2 = x3 ) =
  
  Area under (y = a) and (ay2 = x3)
  
  =
  
  Required area:
  
  Simplify further and you will get the answer.
  
  1
  2
  3
  4
  5
explanation: The document is a math problem from the book "RD Sharma - Mathematics (Volume 2)" for Class 12th, specifically from Chapter 21 on "Areas of Bounded Regions." It contains a question asking for the area of a region bounded by a curve, the y-axis, and two lines. The document also provides a step-by-step solution to the problem.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: ## Book: RD Sharma - Mathematics (Volume 2)
  
  ### Chapter: 21. Areas of Bounded Regions
  
  #### Subject: Maths - Class 12th
  
  ##### Q. No. 5 of Exercise 21.2
  
  Listen NCERT Audio Books to boost your productivity and retention power by 2X.
  
  5
  ##### Find the area of the region bounded by the curve ay2 = x3, they y-axis and the lines y = a and y = 2a.
  
  Similarly as problem 1,
  
  Area of the bounded region = Area under (y = 2a) and (ay2 = x3) – Area under (y = a) and (ay2 = x3)
  
  Area under (y = 2) and (ay2 = x3 ) =
  
  Area under (y = a) and (ay2 = x3)
  
  =
  
  Required area:
  
  Simplify further and you will get the answer.
  
  1
  2
  3
  4
  5
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a math problem from the book "RD Sharma - Mathematics (Volume 2)" for Class 12th, specifically from Chapter 21 on "Areas of Bounded Regions." It contains a question asking for the area of a region bounded by a curve, the y-axis, and two lines. The document also provides a step-by-step solution to the problem.
  
  Label: question-and-answer