In the figure, A, B, C are three points on a circle such that the angles 13 subtended by the chords AB and AC at the centre O are 110° and 120 respectively. Determine ZBAC and the degree measure of ZBOC.
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koi mujhse bhi setting kr lo
Answers & Comments
Answer:
The correct option is C:
80
∘
Given:
∠
B
O
A
=
90
∘
and
∠
A
O
C
=
110
∘
We know that angles around a point add up to
360
∘
∴
∠
B
O
C
+
∠
B
O
A
+
∠
A
O
C
=
360
∘
⇒
∠
B
O
C
+
90
∘
+
110
∘
=
360
∘
⇒
∠
B
O
C
=
360
∘
−
200
∘
∠
B
O
C
=
160
∘
We know that the angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
Arc
B
C
is subtending
∠
B
O
C
at the center and
∠
B
A
C
on the remaining part of the circle, so
∠
B
O
C
=
2
×
∠
B
A
C
∴
∠
B
A
C
=
1
2
∠
B
O
C
=
1
2
×
160
∘
=
80
∘
Verified answer
Answer:
हम तुझे याद करते है रात की तन्हाई में,
दिल डूबता है दर्द की गहराई में,
हमे मत ढूंढना इस जमाने की भीड़ में,
क्योंकि हम मिलेंगे तुझे तेरी ही परछाई में।