Class 5 Exam > Class 5 Questions > Which of the following are collinear points?a...
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Which of the following are collinear points?
- a)The end points of a chord and the centre of the circle.
- b)The point of intersection of the diameters of a circle.
- c)The end points of a diameter and the centre of the circle.
- d)Any two points on the circumference of the circle.
Correct answer is option 'C'. Can you explain this answer?
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Which of the following are collinear points?a)The end points of a chor...
- Collinear points mean the points which lie on the same line or in the same direction.
- Since, the end points of a diameter and the centre of the circle lie on the same line, they are collinear points.
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Which of the following are collinear points?a)The end points of a chor...
Collinear points are points that lie on the same line. In this question, we are given several scenarios involving points on a circle and asked to determine which ones are collinear.
a) The end points of a chord and the centre of the circle:
In a circle, a chord is a line segment that connects two points on the circumference. The centre of the circle is the point equidistant from all points on the circumference. These three points – the two end points of the chord and the centre of the circle – do not lie on the same line. Therefore, they are not collinear.
b) The point of intersection of the diameters of a circle:
A diameter is a chord that passes through the centre of the circle and divides it into two equal halves. When two diameters intersect, the point of intersection is the centre of the circle. Since the centre of the circle is already determined by the diameters, any other points on the circle are not collinear with the point of intersection. Therefore, they are not collinear.
c) The end points of a diameter and the centre of the circle:
A diameter is a chord that passes through the centre of the circle. The end points of a diameter and the centre of the circle lie on the same line. If we draw a straight line passing through the two end points of a diameter, it will also pass through the centre of the circle. Therefore, these points are collinear.
d) Any two points on the circumference of the circle:
The circumference of a circle is the boundary that encloses all the points on the circle. Any two points on the circumference can be connected by a chord, but this chord does not necessarily pass through the centre of the circle. Therefore, any two points on the circumference are not collinear.
In conclusion, the only scenario where the points are collinear is when we have the end points of a diameter and the centre of the circle (option C).
a) The end points of a chord and the centre of the circle:
In a circle, a chord is a line segment that connects two points on the circumference. The centre of the circle is the point equidistant from all points on the circumference. These three points – the two end points of the chord and the centre of the circle – do not lie on the same line. Therefore, they are not collinear.
b) The point of intersection of the diameters of a circle:
A diameter is a chord that passes through the centre of the circle and divides it into two equal halves. When two diameters intersect, the point of intersection is the centre of the circle. Since the centre of the circle is already determined by the diameters, any other points on the circle are not collinear with the point of intersection. Therefore, they are not collinear.
c) The end points of a diameter and the centre of the circle:
A diameter is a chord that passes through the centre of the circle. The end points of a diameter and the centre of the circle lie on the same line. If we draw a straight line passing through the two end points of a diameter, it will also pass through the centre of the circle. Therefore, these points are collinear.
d) Any two points on the circumference of the circle:
The circumference of a circle is the boundary that encloses all the points on the circle. Any two points on the circumference can be connected by a chord, but this chord does not necessarily pass through the centre of the circle. Therefore, any two points on the circumference are not collinear.
In conclusion, the only scenario where the points are collinear is when we have the end points of a diameter and the centre of the circle (option C).
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Which of the following are collinear points?a)The end points of a chord and the centre of the circle.b)The point of intersection of the diameters of a circle.c)The end points of a diameter and the centre of the circle.d)Any two points on the circumference of the circle.Correct answer is option 'C'. Can you explain this answer?
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Which of the following are collinear points?a)The end points of a chord and the centre of the circle.b)The point of intersection of the diameters of a circle.c)The end points of a diameter and the centre of the circle.d)Any two points on the circumference of the circle.Correct answer is option 'C'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Which of the following are collinear points?a)The end points of a chord and the centre of the circle.b)The point of intersection of the diameters of a circle.c)The end points of a diameter and the centre of the circle.d)Any two points on the circumference of the circle.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following are collinear points?a)The end points of a chord and the centre of the circle.b)The point of intersection of the diameters of a circle.c)The end points of a diameter and the centre of the circle.d)Any two points on the circumference of the circle.Correct answer is option 'C'. Can you explain this answer?.
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