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Assertion (A): A point on the $$x$$-axis is of the form $$(x, 0)$$ and a point on the $$y$$-axis is of the form $$(0, y)$$. Reason (R): The abscissa of a point denotes its distance from $$x$$-axis

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Question

Assertion (A): A point on the $$x$$-axis is of the form $$(x, 0)$$ and a point on the $$y$$-axis is of the form $$(0, y)$$.

Reason (R): The abscissa of a point denotes its distance from $$x$$-axis and the ordinate denotes its distance from $$y$$-axis.

Options

  • Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

  • Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

  • Assertion (A) is true and Reason (R) is false.

  • Assertion (A) is false and Reason (R) is true.

MCQ
Assertion and Reasoning
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Solution

Assertion (A) is true and Reason (R) is false.

Explanation:

Step 1 – Assertion: A is true. On the $$x$$-axis the ordinate is zero, giving $$(x, 0)$$; on the $$y$$-axis the abscissa is zero, giving $$(0,y)$$.

Step 2 – Reason: R is false. The abscissa measures the directed distance from the $$y$$-axis, while the ordinate measures the directed distance from the $$x$$-axis.

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Chapter 20: Additional Questions - Coordinate Geometry [Page 1004]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 20 Additional Questions
Coordinate Geometry | Q 3. | Page 1004
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