CBSE2026Class Class 10 · Mathematics1 Marks · Mcq✅ Verified
The graph of $y = f(x)$ is given. The number of distinct zeroes of $y = f(x)$ is :
*(Figure : the curve rises from the third quadrant, cuts the x-axis at point A on the negative x-axis, reaches a maximum, comes down and touches the x-axis, then rises again.)*
A. 0
B. 1
C. 2
D. 3
✅ Answer & Solution
✅ Correct Answer: C
**Step 1 — Recall the graphical meaning of a zero.**
The zeroes of $y=f(x)$ are the $x$-coordinates of the points where the graph **meets or cuts** the $x$-axis.
**Step 2 — Count the meeting points on the graph.**
- The graph **cuts** the $x$-axis at point $A$ (one zero).
- The graph **touches** the $x$-axis at the minimum point (one repeated zero, counted once as a *distinct* zero).
**Step 3 — Total distinct zeroes.**
$$\text{Number of distinct zeroes} = 2$$
