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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.?
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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.
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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.?
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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.?.
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