✓ 5 MARKS
Long Answer
🔥 APPEARED IN 3 BOARD SETS
A woman discovered a scratch along a straight line on a circular table top of radius $8 \text{ cm}$. She divided the table top into 4 equal quadrants and discovered the scratch passing through the origin inclined at an angle $\frac{\pi}{4}$ anticlockwise along the positive direction of x-axis. Find the area of the region enclosed by the x-axis, the scratch and the circular table top in the first quadrant, using integration.
01 // VERIFIED BOARD OCCURRENCES
| Year | Paper Code | Set | Position |
|---|---|---|---|
| CBSE 2025 | Series 65-7 | Set 1 | Question 33 |
| CBSE 2025 | Series 65-7 | Set 2 | Question 35 |
| CBSE 2025 | Series 65-7 | Set 3 | Question 35 |
02 // OFFICIAL CBSE MARKING SCHEME BREAKDOWN
- Step 1: Stating the fundamental formula / law statement (+1 Mark)
- Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
- Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)