A graph intersects the x-axis at x = 2 and x = 10. What is the distance between these two zeros?
Answer and explanation
Correct answer: 8
Zeros correspond to x-coordinates on the number line, so the distance between them is the absolute difference of their x-values. Distance = \(|10-2|=8\). Common mistake: adding the coordinates to get \(2+10=12\), which explains why option B is incorrect. Exam tip: visualize the points on a number line and use the absolute difference to get a positive distance.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
Zeros correspond to x-coordinates on the number line, so the distance between them is the absolute difference of their x-values. Distance = \(|10-2|=8\). Common mistake: adding the coordinates to get \(2+10=12\), which explains why option B is incorrect. Exam tip: visualize the points on a number line and use the absolute difference to get a positive distance.
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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