| --- |
| source: ncert_exercises |
| topic: algebra |
| class_level: class_10 |
| chapter: ch2 |
| exercise: ex2.1 |
| difficulty: beginner |
| --- |
| |
| Class 10 | Ch2: Polynomials | Exercise 2.1 |
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| Key: Geometrical meaning of zeroes — where graph cuts/touches x-axis. |
| Number of zeroes = number of times graph crosses x-axis. |
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| Q1. The graphs of y=p(x) are given. Find the number of zeroes of p(x) in each case. |
| Answer: |
| (i) Graph does not intersect x-axis → 0 zeroes. ✅ |
| (ii) Graph intersects x-axis at 1 point → 1 zero. ✅ |
| (iii) Graph intersects x-axis at 3 points → 3 zeroes. ✅ |
| (iv) Graph intersects x-axis at 2 points → 2 zeroes. ✅ |
| (v) Graph intersects x-axis at 4 points → 4 zeroes. ✅ |
| (vi) Graph intersects x-axis at 3 points → 3 zeroes. ✅ |
