A graph cuts the x-axis at x = -3 and x = 9. What is the distance between these zeroes?
Answer and explanation
Correct answer: 12
Distance on the number line is the absolute difference between the coordinates, so it is always nonnegative. Here distance = \\(|9-(-3)| = |12| = 12\\). Option B (9) is just one zero's x-value, not the distance; option D (-12) is negative and therefore not a valid distance. Exam tip: always use |x2 - x1| to find distance between two zeros on the x-axis.
Frequently asked questions
What is the correct answer to this question?
12
Why is this the correct answer?
Distance on the number line is the absolute difference between the coordinates, so it is always nonnegative. Here distance = \\(|9-(-3)| = |12| = 12\\). Option B (9) is just one zero's x-value, not the distance; option D (-12) is negative and therefore not a valid distance. Exam tip: always use |x2 - x1| to find distance between two zeros on the x-axis.
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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