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Consider the following statements
I. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn mid way between them.
II. The perpendicular distance of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.
II. The perpendicular distance of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.
Which of the above statements is/are correct?
- a)Only I
- b)Only II
- c)Both I and II
- d)Neither I nor II
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Consider the following statementsI. The locus of points which are equi...
Statements I and II are both true, because the locus of points which are equidistant from two parallel lines is a line parallel to both of them and draw mid way between them.
Also, it is true that the perpendicular distances of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.
Hence, option C is correct.
Also, it is true that the perpendicular distances of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.
Hence, option C is correct.
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Consider the following statementsI. The locus of points which are equi...
Statement I: The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn midway between them.
This statement is correct. When two lines are parallel, any point equidistant from them must lie on a line that is parallel to both of them. Additionally, if we consider a point on this locus line and draw perpendiculars to the two original parallel lines, the perpendicular distances will be equal.
Statement II: The perpendicular distance of any point on this locus line from two original parallel lines is equal. Further, no point outside this locus line has this property.
This statement is also correct. As mentioned above, any point on the locus line will have equal perpendicular distances from the two original parallel lines. This is because the locus line is equidistant from the two parallel lines.
Additionally, no point outside the locus line will have this property. If a point is outside the locus line, it will either be closer to one of the parallel lines or farther away from both of them. In either case, the perpendicular distances from the two parallel lines will not be equal.
Hence, both statements I and II are correct. The locus of points that are equidistant from two parallel lines is a line parallel to both of them and drawn midway between them. Furthermore, any point on this locus line will have equal perpendicular distances from the two original parallel lines, while no point outside the locus line will exhibit this property.
This statement is correct. When two lines are parallel, any point equidistant from them must lie on a line that is parallel to both of them. Additionally, if we consider a point on this locus line and draw perpendiculars to the two original parallel lines, the perpendicular distances will be equal.
Statement II: The perpendicular distance of any point on this locus line from two original parallel lines is equal. Further, no point outside this locus line has this property.
This statement is also correct. As mentioned above, any point on the locus line will have equal perpendicular distances from the two original parallel lines. This is because the locus line is equidistant from the two parallel lines.
Additionally, no point outside the locus line will have this property. If a point is outside the locus line, it will either be closer to one of the parallel lines or farther away from both of them. In either case, the perpendicular distances from the two parallel lines will not be equal.
Hence, both statements I and II are correct. The locus of points that are equidistant from two parallel lines is a line parallel to both of them and drawn midway between them. Furthermore, any point on this locus line will have equal perpendicular distances from the two original parallel lines, while no point outside the locus line will exhibit this property.
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Consider the following statementsI. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn mid way between them.II. The perpendicular distance of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.Which of the above statements is/are correct?a)Only Ib)Only IIc)Both I and IId)Neither I nor IICorrect answer is option 'C'. Can you explain this answer?
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Consider the following statementsI. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn mid way between them.II. The perpendicular distance of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.Which of the above statements is/are correct?a)Only Ib)Only IIc)Both I and IId)Neither I nor IICorrect answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Consider the following statementsI. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn mid way between them.II. The perpendicular distance of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.Which of the above statements is/are correct?a)Only Ib)Only IIc)Both I and IId)Neither I nor IICorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statementsI. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn mid way between them.II. The perpendicular distance of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.Which of the above statements is/are correct?a)Only Ib)Only IIc)Both I and IId)Neither I nor IICorrect answer is option 'C'. Can you explain this answer?.
Consider the following statementsI. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn mid way between them.II. The perpendicular distance of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.Which of the above statements is/are correct?a)Only Ib)Only IIc)Both I and IId)Neither I nor IICorrect answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Consider the following statementsI. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn mid way between them.II. The perpendicular distance of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.Which of the above statements is/are correct?a)Only Ib)Only IIc)Both I and IId)Neither I nor IICorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statementsI. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn mid way between them.II. The perpendicular distance of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.Which of the above statements is/are correct?a)Only Ib)Only IIc)Both I and IId)Neither I nor IICorrect answer is option 'C'. Can you explain this answer?.
Solutions for Consider the following statementsI. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn mid way between them.II. The perpendicular distance of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.Which of the above statements is/are correct?a)Only Ib)Only IIc)Both I and IId)Neither I nor IICorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Consider the following statementsI. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn mid way between them.II. The perpendicular distance of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.Which of the above statements is/are correct?a)Only Ib)Only IIc)Both I and IId)Neither I nor IICorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Consider the following statementsI. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn mid way between them.II. The perpendicular distance of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.Which of the above statements is/are correct?a)Only Ib)Only IIc)Both I and IId)Neither I nor IICorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Consider the following statementsI. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn mid way between them.II. The perpendicular distance of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.Which of the above statements is/are correct?a)Only Ib)Only IIc)Both I and IId)Neither I nor IICorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider the following statementsI. The locus of points which are equidistant from two parallel lines is a line parallel to both of them and drawn mid way between them.II. The perpendicular distance of any point on this locus line from two original parallel lines are equal. Further, no point outside this locus line has this property.Which of the above statements is/are correct?a)Only Ib)Only IIc)Both I and IId)Neither I nor IICorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
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