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प्रश्न
AB is diameter of the circle and ∠ACD = 38°.
Assertion (A): x = 38°.
Reason (R): ∠ACB = 90°
x = ∠DCB
= 90° − 38 = 52°
विकल्प
A is true, R is false.
A is false, R is true.
Both A and R are true and R is the correct reason for A.
Both A and R are true and R is the incorrect reason for A.
MCQ
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उत्तर
A is false, R is true.
Explanation:
Join DB and CB.
It is given AB is diameter of the circle and angles in a semicircle is a right angle.
⇒ ∠ACB = 90°
⇒ ∠ACD + ∠DCB = 90°
⇒ 38° + ∠DCB = 90°
⇒ ∠DCB = 90° − 38°
⇒ ∠DCB = 52°
We know that, angles subtended by the same chord in the same segment of a circle are equal.
⇒ ∠BAD (x) = ∠BCD = 52°
So, assertion (A) is false but reason (R) is true.
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