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A farmer in Punjab represents net water gain in a field by . The graph is a parabola opening downward with its highest point at (6, 0).
State the number of real zeroes and explain in terms of the graph.

Class 10Graphical Meaning of ZeroesAlgebra — Polynomials
  • A1 zero — the parabola touches the -axis only at
  • B2 zeroes — it crosses at two points
  • C0 zeroes — it never meets the -axis
  • D3 zeroes — a parabola has 3 zeroes

Step-by-Step Solution

The highest point (vertex) is on the -axis at (6, 0), so a downward parabola touches the -axis only there, giving 1 repeated zero.
Answer: A) 1 zero — the parabola touches the -axis only at

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