If a graph passes through the points \\((1,0)\\), \\((4,0)\\) and \\((0,6)\\), what are the zeroes?
Answer and explanation
Correct answer: 1 and 4
Zeroes are the x-values where the graph meets the x-axis, i.e. where y = 0. Among the given points \\((1,0)\\) and \\((4,0)\\) have y = 0, so the zeroes are 1 and 4. Option B is incorrect because \\((0,6)\\) has y = 6 (an y-intercept), not y = 0. Exam tip: always check the y-coordinate — only points with y = 0 give zeroes.
Frequently asked questions
What is the correct answer to this question?
1 and 4
Why is this the correct answer?
Zeroes are the x-values where the graph meets the x-axis, i.e. where y = 0. Among the given points \\((1,0)\\) and \\((4,0)\\) have y = 0, so the zeroes are 1 and 4. Option B is incorrect because \\((0,6)\\) has y = 6 (an y-intercept), not y = 0. Exam tip: always check the y-coordinate — only points with y = 0 give zeroes.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Geometrical meaning of the zeroes of a polynomial..
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