NCERT Class 12 · Ch 8 Exercise 8.1 · Q4
NCERT Class 12 Maths · Chapter 8 Applications Of Integrals · Exercise 8.1 Question 4
Find the area bounded by y²=4x, the y-axis and y=3.
💡 Concept Hints
- Sketch the region, choose a vertical or horizontal strip, and find all sign changes.
- Express its area as an integral of upper minus lower (or right minus left), splitting where necessary.
✅ Step-by-Step Solution
Final Answer: B: 9/4 square units.
- Use horizontal strips: x ranges from the y-axis x=0 to x=y²/4.
- The intersections defining the limits are y=0 at the origin and the horizontal line y=3.
- Area=∫₀³(y²/4−0)dy=[y³/12]₀³=27/12=9/4, option B.
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