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A man is climbing up a ladder which is resting against a vertical wall. When he was exactly half way up, the ladder started slipping. The path traced by the man is :
- a)Parabola
- b)Hyperbola
- c)Ellipse
- d)Circle
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A man is climbing up a ladder which is resting against a vertical wall...
P is the midpoint of the lagger.
BP = AP = L/2, OC = CB = x
When x = 0, then y = L/2
(Point P lie on OA)
When y = 0, then x = L/2
This condition satisfies the circle equation,
(x)2 + (y)2 = (L/2)2
So, the path traced by point is circular.
Most Upvoted Answer
A man is climbing up a ladder which is resting against a vertical wall...
Explanation:
When the man is climbing up the ladder, he is moving vertically along the wall while also moving horizontally along the ladder. The ladder acts as a radius of a circle, with the man being the point moving along the circumference of the circle.
Circle:
The path traced by the man can be represented as a circle because the distance from the man to the base of the ladder remains constant throughout his climb. The ladder is resting against the vertical wall at all times, forming a right angle with the ground. This means that the man is always a fixed distance away from the base of the ladder, creating a circular path.
Center of the Circle:
The center of the circle is located at the base of the ladder, where it is in contact with the ground. This is because the distance between the man and the base of the ladder remains constant, forming a circle with the base as its center.
Radius of the Circle:
The length of the ladder is the radius of the circle. As the man climbs up the ladder, the length of the ladder remains constant, and thus the radius of the circle remains constant.
Conclusion:
Therefore, the path traced by the man while climbing up the ladder is a circle, as the distance between the man and the base of the ladder remains constant.
When the man is climbing up the ladder, he is moving vertically along the wall while also moving horizontally along the ladder. The ladder acts as a radius of a circle, with the man being the point moving along the circumference of the circle.
Circle:
The path traced by the man can be represented as a circle because the distance from the man to the base of the ladder remains constant throughout his climb. The ladder is resting against the vertical wall at all times, forming a right angle with the ground. This means that the man is always a fixed distance away from the base of the ladder, creating a circular path.
Center of the Circle:
The center of the circle is located at the base of the ladder, where it is in contact with the ground. This is because the distance between the man and the base of the ladder remains constant, forming a circle with the base as its center.
Radius of the Circle:
The length of the ladder is the radius of the circle. As the man climbs up the ladder, the length of the ladder remains constant, and thus the radius of the circle remains constant.
Conclusion:
Therefore, the path traced by the man while climbing up the ladder is a circle, as the distance between the man and the base of the ladder remains constant.
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A man is climbing up a ladder which is resting against a vertical wall. When he was exactly half way up, the ladder started slipping. The path traced by the man is :a)Parabolab)Hyperbolac)Ellipsed)CircleCorrect answer is option 'D'. Can you explain this answer?
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A man is climbing up a ladder which is resting against a vertical wall. When he was exactly half way up, the ladder started slipping. The path traced by the man is :a)Parabolab)Hyperbolac)Ellipsed)CircleCorrect answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A man is climbing up a ladder which is resting against a vertical wall. When he was exactly half way up, the ladder started slipping. The path traced by the man is :a)Parabolab)Hyperbolac)Ellipsed)CircleCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man is climbing up a ladder which is resting against a vertical wall. When he was exactly half way up, the ladder started slipping. The path traced by the man is :a)Parabolab)Hyperbolac)Ellipsed)CircleCorrect answer is option 'D'. Can you explain this answer?.
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