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Q.

Angle subtended in a semi-circle by the largest chord of a circle is


 

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a

Supplementary

b

An acute angle

c

Right angle

d

Obtuse angle

answer is C.

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Detailed Solution

Concept: A chord is a straight line whose ends are on the circle's circumference. A diameter is the longest chord that can be formed.

Let  AB be the diameter.

We can say that the angle subtended by a chord at centre is twice the angle subtended by that chord at any point on the circumference.

Angle subtended by AB at centre O is  1800.

So, it follows that the angle in a semicircle is always a right angle.

Hence, an angle subtended in a semi-circle by the largest chord of a circle is right angle.


 

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Angle subtended in a semi-circle by the largest chord of a circle is