UPSC Exam > UPSC Questions > Statement-1( Assertion) : The perpendicular d...
Start Learning for Free
Statement-1( Assertion) : The perpendicular distance of the point P(4,-7) from x axis is 4. Statement-2 ( Reason) : The perpendicular distance of the point from x axis Is the absolute value of Its y-coordlnate.?
Most Upvoted Answer
Statement-1( Assertion) : The perpendicular distance of the point P(4,...
Explanation:
Perpendicular Distance from x-axis:
- The perpendicular distance of a point from the x-axis is the length of the line segment drawn perpendicular from the point to the x-axis.
- In this case, the point P(4, -7) has coordinates (4, -7) where the x-coordinate is 4 and the y-coordinate is -7.
Calculating Perpendicular Distance:
- The perpendicular distance of the point P(4, -7) from the x-axis can be calculated using the absolute value of its y-coordinate.
- Since the y-coordinate of point P is -7, the absolute value of -7 is 7.
- Therefore, the perpendicular distance from the x-axis is 7 units, not 4.
Verification of Statements:
- The reason given in Statement-2 is incorrect as the perpendicular distance from the x-axis is not the absolute value of the y-coordinate.
- Hence, Statement-1 is incorrect as well since the perpendicular distance of the point P(4, -7) from the x-axis is not 4 units.
Conclusion:
- The perpendicular distance of a point from the x-axis is the absolute value of its y-coordinate only if the point lies on the x-axis. In this case, the point P(4, -7) is not on the x-axis, so the statement is false.
Perpendicular Distance from x-axis:
- The perpendicular distance of a point from the x-axis is the length of the line segment drawn perpendicular from the point to the x-axis.
- In this case, the point P(4, -7) has coordinates (4, -7) where the x-coordinate is 4 and the y-coordinate is -7.
Calculating Perpendicular Distance:
- The perpendicular distance of the point P(4, -7) from the x-axis can be calculated using the absolute value of its y-coordinate.
- Since the y-coordinate of point P is -7, the absolute value of -7 is 7.
- Therefore, the perpendicular distance from the x-axis is 7 units, not 4.
Verification of Statements:
- The reason given in Statement-2 is incorrect as the perpendicular distance from the x-axis is not the absolute value of the y-coordinate.
- Hence, Statement-1 is incorrect as well since the perpendicular distance of the point P(4, -7) from the x-axis is not 4 units.
Conclusion:
- The perpendicular distance of a point from the x-axis is the absolute value of its y-coordinate only if the point lies on the x-axis. In this case, the point P(4, -7) is not on the x-axis, so the statement is false.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Statement-1( Assertion) : The perpendicular distance of the point P(4,-7) from x axis is 4. Statement-2 ( Reason) : The perpendicular distance of the point from x axis Is the absolute value of Its y-coordlnate.?
Question Description
Statement-1( Assertion) : The perpendicular distance of the point P(4,-7) from x axis is 4. Statement-2 ( Reason) : The perpendicular distance of the point from x axis Is the absolute value of Its y-coordlnate.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Statement-1( Assertion) : The perpendicular distance of the point P(4,-7) from x axis is 4. Statement-2 ( Reason) : The perpendicular distance of the point from x axis Is the absolute value of Its y-coordlnate.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement-1( Assertion) : The perpendicular distance of the point P(4,-7) from x axis is 4. Statement-2 ( Reason) : The perpendicular distance of the point from x axis Is the absolute value of Its y-coordlnate.?.
Statement-1( Assertion) : The perpendicular distance of the point P(4,-7) from x axis is 4. Statement-2 ( Reason) : The perpendicular distance of the point from x axis Is the absolute value of Its y-coordlnate.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Statement-1( Assertion) : The perpendicular distance of the point P(4,-7) from x axis is 4. Statement-2 ( Reason) : The perpendicular distance of the point from x axis Is the absolute value of Its y-coordlnate.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement-1( Assertion) : The perpendicular distance of the point P(4,-7) from x axis is 4. Statement-2 ( Reason) : The perpendicular distance of the point from x axis Is the absolute value of Its y-coordlnate.?.
Solutions for Statement-1( Assertion) : The perpendicular distance of the point P(4,-7) from x axis is 4. Statement-2 ( Reason) : The perpendicular distance of the point from x axis Is the absolute value of Its y-coordlnate.? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Statement-1( Assertion) : The perpendicular distance of the point P(4,-7) from x axis is 4. Statement-2 ( Reason) : The perpendicular distance of the point from x axis Is the absolute value of Its y-coordlnate.? defined & explained in the simplest way possible. Besides giving the explanation of
Statement-1( Assertion) : The perpendicular distance of the point P(4,-7) from x axis is 4. Statement-2 ( Reason) : The perpendicular distance of the point from x axis Is the absolute value of Its y-coordlnate.?, a detailed solution for Statement-1( Assertion) : The perpendicular distance of the point P(4,-7) from x axis is 4. Statement-2 ( Reason) : The perpendicular distance of the point from x axis Is the absolute value of Its y-coordlnate.? has been provided alongside types of Statement-1( Assertion) : The perpendicular distance of the point P(4,-7) from x axis is 4. Statement-2 ( Reason) : The perpendicular distance of the point from x axis Is the absolute value of Its y-coordlnate.? theory, EduRev gives you an
ample number of questions to practice Statement-1( Assertion) : The perpendicular distance of the point P(4,-7) from x axis is 4. Statement-2 ( Reason) : The perpendicular distance of the point from x axis Is the absolute value of Its y-coordlnate.? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup