CBSE Class 12 Mathematics 2026 Main Paper 65/3/3 · Q161 Markscircle_area
CBSE Class 12 Mathematics 2026 Main Paper 65/3/3 · Question 16 (Applications Of Integrals)
Which integral gives the area of the shaded region in the circle diagram?
✅ Step-by-Step Solution
Final Answer: \(2\int_1^3\sqrt{9-y^2}\,dy\)
- The chord is at y=1 and the circle reaches y=3. At height y the horizontal width is 2√(9−y²), which must be integrated over 1≤y≤3.
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