If a graph intersects the x-axis at the point \((r,0)\) with \(r>0\), which statement about the zero is correct?
Answer and explanation
Correct answer: The zero is positive
An intersection with the x-axis at \((r,0)\) means the x-coordinate \(r\) is a zero (root) of the graph's equation. Since \(r>0\), the zero is positive. Option A is wrong because \(r\) is not negative; C is wrong because the zero would be 0 only if \(r=0\); D is wrong because an x-axis intersection implies a zero exists. Exam tip: the x-intercept's x-coordinate gives the zero directly.
Frequently asked questions
What is the correct answer to this question?
The zero is positive
Why is this the correct answer?
An intersection with the x-axis at \((r,0)\) means the x-coordinate \(r\) is a zero (root) of the graph's equation. Since \(r>0\), the zero is positive. Option A is wrong because \(r\) is not negative; C is wrong because the zero would be 0 only if \(r=0\); D is wrong because an x-axis intersection implies a zero exists. Exam tip: the x-intercept's x-coordinate gives the zero directly.
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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