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Standard X
Mathematics
Angles in Alternate Segments
Angle subtend...
Question
Angle subtended in a semi circle by the largest chord of a circle is.
A
Obtuse angle
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B
Right angle
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C
An acute angle
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D
Supplementary
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Solution
The correct option is
C
Right angle
The largest chord of any circle is its diameter, say AB.
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
180
∘
.
It follows that APB is 90°.
So it follows that the angle in a semicircle is always a right angle.
option B is answer.
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Similar questions
Q.
Angle subtended by a diameter in a semi-circle is ____ degrees
Q.
The angle subtended by the longest chord of the circle at any point of the circle is.
Q.
Angle subtended by any chord of a circle at the centre of a circle is
___
the angle subtended at the major arc by the same chord.
Q.
Are the following statements true or false? Correct the wrong ones and write them again.
(1) An angle in a semi-circular region is an acute angle.
(2) The angle in the minor segment of a circle is a right angle.
(3) The angle in the major segment of a circle is an obtuse angle.
(4) Angles in the same segment of a circle are congruent.
Q.
Angle formed in minor segment of a circle is
(a) acute
(b) obtuse
(c) right angle
(d) none of these
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