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DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : If the ordinate of a point is equal to its abscissa, then the point lies either in the first quadrant or in the second quadrant.
Reason : A point both of whose coordinates are negative will lie in third quadrants.
  • a)
    Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
  • b)
    Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
  • c)
    Assertion (A) is true but reason (R) is false.
  • d)
    Assertion (A) is false but reason (R) is true.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
We know that A point both of whose coordinates are negative will lie in third quadrants. So, Reason is correct.
Also we know that If the ordinate of a point is equal to its abscissa, then the point lies either in the first quadrant or in the third quadrant. So, Assertion is not correct
Correct option is (d) Assertion (A) is false but reason (R) is true.
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Most Upvoted Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
Assertion and Reasoning:
Assertion: If the ordinate of a point is equal to its abscissa, then the point lies either in the first quadrant or in the second quadrant.
Reason: A point both of whose coordinates are negative will lie in the third quadrant.

Explanation:
To understand the given assertion and reasoning, let's first understand the concepts of ordinate and abscissa.

- An ordinate is the y-coordinate of a point on a coordinate plane.
- An abscissa is the x-coordinate of a point on a coordinate plane.

Understanding the Assertion:
The assertion states that if the ordinate of a point is equal to its abscissa, then the point lies either in the first quadrant or in the second quadrant.

Understanding the Reason:
The reason states that a point with both negative coordinates will lie in the third quadrant.

Explanation of the Assertion:
Let's consider a point (x, y) on a coordinate plane. If the ordinate (y-coordinate) is equal to the abscissa (x-coordinate), it means y = x.

- If we substitute y = x in the coordinate point (x, y), we get (x, x).
- This implies that both the x-coordinate and y-coordinate of the point are equal.
- Since the point lies on a coordinate plane, it means that the x and y values are positive.
- Therefore, the point will lie either in the first quadrant or in the second quadrant, where both x and y are positive.

Explanation of the Reason:
The reason states that a point with both negative coordinates will lie in the third quadrant.

- In the coordinate plane, the third quadrant is characterized by negative x-coordinates and negative y-coordinates.
- If a point has negative x and y values, it means that both coordinates are negative.
- Therefore, the point will lie in the third quadrant.

Conclusion:
From the above explanation, we can conclude that both the assertion and reason are true, but the reason does not provide a correct explanation for the assertion.
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DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : If the ordinate of a point is equal to its abscissa, then the point lies either in the first quadrant or in the second quadrant.Reason : A point both of whose coordinates are negative will lie in third quadrants.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'D'. Can you explain this answer?
Question Description
DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : If the ordinate of a point is equal to its abscissa, then the point lies either in the first quadrant or in the second quadrant.Reason : A point both of whose coordinates are negative will lie in third quadrants.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : If the ordinate of a point is equal to its abscissa, then the point lies either in the first quadrant or in the second quadrant.Reason : A point both of whose coordinates are negative will lie in third quadrants.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : If the ordinate of a point is equal to its abscissa, then the point lies either in the first quadrant or in the second quadrant.Reason : A point both of whose coordinates are negative will lie in third quadrants.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'D'. Can you explain this answer?.
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