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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : Mid-point of a line segment divides line in the ratio 1 : 1.
Reason : If area of triangle is zero that means points are collinear.
- a)Both A and R are true and R is the correct explanation of A
- b)Both A and R are true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false and R is True
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Directions: In the following questions, A statement of Assertion (A) ...
Let us assume that point B divides the line AC in the ratio k : 1
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Let(x1, y1, z1) = (0, 0, 0)
(x, y ,z) = (2, −3, 3)
(x2, y2, z2) = (−2, 3, −3)
By section formula:
x = m1 + m2 m1 x 2 + m2 x 1
⇒ 2 = k + 1 k.(−2) + 1.(0)
⇒ k = 4 − 1 on neglecting the negative sign
we get, therefore ratio is 1:4.
Most Upvoted Answer
Directions: In the following questions, A statement of Assertion (A) ...
Assertion: Mid-point of a line segment divides the line in the ratio 1:1.
Reason: If the area of a triangle is zero, that means the points are collinear.
The correct answer is option 'B' which states that both the assertion and the reason are true, but the reason is not the correct explanation of the assertion.
Explanation:
The assertion states that the mid-point of a line segment divides the line in the ratio 1:1. This means that if we divide a line segment into two equal parts at its mid-point, the two resulting line segments will be of equal length. This is a well-known property of mid-points in geometry. For example, if we have a line segment AB and its mid-point is M, then AM will be equal to MB.
However, the reason given to support the assertion is that if the area of a triangle is zero, then the points are collinear. This reason is not a correct explanation of the assertion because the two statements are unrelated. The collinearity of points and the division of a line segment in the ratio 1:1 are separate concepts and do not rely on each other.
To further clarify, the collinearity of points refers to the property of three or more points lying on the same straight line. On the other hand, the division of a line segment in the ratio 1:1 refers to the property of the mid-point dividing the line segment into two equal parts.
In conclusion, the assertion that the mid-point of a line segment divides the line in the ratio 1:1 is true and a well-known property in geometry. However, the reason given to support the assertion is not the correct explanation as it relates to a different concept.
Reason: If the area of a triangle is zero, that means the points are collinear.
The correct answer is option 'B' which states that both the assertion and the reason are true, but the reason is not the correct explanation of the assertion.
Explanation:
The assertion states that the mid-point of a line segment divides the line in the ratio 1:1. This means that if we divide a line segment into two equal parts at its mid-point, the two resulting line segments will be of equal length. This is a well-known property of mid-points in geometry. For example, if we have a line segment AB and its mid-point is M, then AM will be equal to MB.
However, the reason given to support the assertion is that if the area of a triangle is zero, then the points are collinear. This reason is not a correct explanation of the assertion because the two statements are unrelated. The collinearity of points and the division of a line segment in the ratio 1:1 are separate concepts and do not rely on each other.
To further clarify, the collinearity of points refers to the property of three or more points lying on the same straight line. On the other hand, the division of a line segment in the ratio 1:1 refers to the property of the mid-point dividing the line segment into two equal parts.
In conclusion, the assertion that the mid-point of a line segment divides the line in the ratio 1:1 is true and a well-known property in geometry. However, the reason given to support the assertion is not the correct explanation as it relates to a different concept.
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Mid-point of a line segment divides line in the ratio 1 : 1.Reason : If area of triangle is zero that means points are collinear.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Mid-point of a line segment divides line in the ratio 1 : 1.Reason : If area of triangle is zero that means points are collinear.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Mid-point of a line segment divides line in the ratio 1 : 1.Reason : If area of triangle is zero that means points are collinear.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer?.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Mid-point of a line segment divides line in the ratio 1 : 1.Reason : If area of triangle is zero that means points are collinear.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Mid-point of a line segment divides line in the ratio 1 : 1.Reason : If area of triangle is zero that means points are collinear.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Mid-point of a line segment divides line in the ratio 1 : 1.Reason : If area of triangle is zero that means points are collinear.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Mid-point of a line segment divides line in the ratio 1 : 1.Reason : If area of triangle is zero that means points are collinear.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Mid-point of a line segment divides line in the ratio 1 : 1.Reason : If area of triangle is zero that means points are collinear.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Mid-point of a line segment divides line in the ratio 1 : 1.Reason : If area of triangle is zero that means points are collinear.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Mid-point of a line segment divides line in the ratio 1 : 1.Reason : If area of triangle is zero that means points are collinear.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : Mid-point of a line segment divides line in the ratio 1 : 1.Reason : If area of triangle is zero that means points are collinear.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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