A parabola cuts the x-axis at x = -4 and x = 6. What is the midpoint between these zeros?
Answer and explanation
Correct answer: 1
The midpoint of two zeros is their average. So the midpoint is \(\frac{-4+6}{2}=1\). Option C (5) is a common mistake — it equals half the distance between the zeros (\(6-(-4)=10\) so half is 5) but not the midpoint itself; to get the midpoint add that half-distance to the left root: \(-4+5=1\). Exam tip: compute the average directly and be careful with signs.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
The midpoint of two zeros is their average. So the midpoint is \(\frac{-4+6}{2}=1\). Option C (5) is a common mistake — it equals half the distance between the zeros (\(6-(-4)=10\) so half is 5) but not the midpoint itself; to get the midpoint add that half-distance to the left root: \(-4+5=1\). Exam tip: compute the average directly and be careful with signs.
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..
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
