Maths WBBSE Class 10 Solutions Chapter 3 Theorems Related To Circle Exercise 3.1
Question 1. Let us see the adjoining figure of the circle with center O and write the rate which is situated in the segment PAQ.
Answer: In the circle with center O, OP, OA, OC, and OQ are the radii in the A segment PAQ.
Question 2. Let us write in the following 
by understanding it.
1. In a circle, there is number of points.
Answer: Infinite.
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2. The greatest chord of the circle is
Answer: Diameter.
3. The chord divides the circular region into two
Answer: Sector.
4. All diameters of the circle pass-through
Answer: Centre.
5. If two segments are equal, then their two arcs are in length.
Answer: Equal.
6. The sector of the circular region is the region enclosed by the arc and the two
Answer: Radii.
7. The length of the line segment joining the point outside the circle and the center is than the length of the radius.
Answer: Greater.
Wbbse Class 10 Maths Chapter 3 Exercise 3.1 Question 3.
With the help of scale and pencil, compass let us draw a circle and indicate centre, chord diameter, radius, major arc, minor arc on it
Answer: Centre O
Chord – CD
Diameter – AB
Radius OE = OA = OB
Minor arc – \(\overline{x y}\)
Major arc – \(\overline{x p y}\)
Chapter 3 Theorems Related To Circle Exercise 3.1 True or False
1. The circle is a plane figure.
Answer: Circle is a rectilinear figure
True
2. The segment is a plane region.
Answer: A segment of a circle is a rectilinear figure.
True
3. The sector is a plane region.
Answer: The sector is rectilinear.
True
4. The chord is a line segment.
Answer: A chord is a line segment.
True
5. The arc is a line segment.
Answer: Arc is a line segment.
False
6. There are a finite number of chords of the same length in a circle.
Answer: A circle contains an infinite number of equal chords.
False
7. One and only one circle can be drawn by taking a fixed point as its center.
Answer: Only one circle can be drawn with a center.
False
8. The lengths of the radii of two congruent circles are equal.
Answer: The lengths of the radius of two congruent circles are equal.
True
Application 1. I draw a chord PQ of the circle with the Centre, which is not a diameter. I draw a perpendicular on from . I prove with reason that MQ:
Application 2. I prove the theorem-33 by the proof of congruency of an OBD with the help of the S-A-S axiom of congruency.
Wbbse Class 10 Maths Chapter 3 Exercise 3.1
Application 3. The perpendicular distance of a chord from the center of a circle, having a radius of is in length. Let us write by calculating the length of its chord.
Application 4. In a circle with the radius of in length, the two parallel chords of length and are situated on opposite sides of the center. Let us write by calculating the distance between two chords.
Application 5. I prove with the reason that two equal chords of any circle are equidistant from its centre.
Application 6. Let us prove that the perpendicular bisector of a chord of a circle passes through its centre.
Application 7. Let us prove that a straight line cannot intersect a circle at more than two points.
