Which number has distance √17 from 0 and lies to the left of 0 on the number line?
Answer and explanation
Correct answer: −√17
On a number line, the distance of a point x from zero is |x|. The equation |x| = √17 has two solutions: x = √17 and x = −√17. The additional condition says that the point must lie to the left of zero. Every point left of zero has a negative coordinate, so the required solution is −√17. Therefore option A is correct. Option B has the same distance from zero but lies to the right. Option C has distance 17, not √17, and option D has distance 17 as well, despite being negative. The direction condition is essential for choosing between the two points.
Frequently asked questions
What is the correct answer to this question?
−√17
Why is this the correct answer?
On a number line, the distance of a point x from zero is |x|. The equation |x| = √17 has two solutions: x = √17 and x = −√17. The additional condition says that the point must lie to the left of zero. Every point left of zero has a negative coordinate, so the required solution is −√17. Therefore option A is correct. Option B has the same distance from zero but lies to the right. Option C has distance 17, not √17, and option D has distance 17 as well, despite being negative. The direction condition is essential for choosing between the two points.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Representing real numbers on the number line.
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