In the following figure, AQ is a tangent to the circle at A. If $∠ A C B = 60^{0},$ then $∠ B A Q =$

30^{0}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

60^{0}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

120^{0}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

45^{0}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $60^{0}$

$∠ A C B = ∠ A E B = 60^{0}$ [ Angles on the same segment are equal to each other.]
$∠ A E B = ∠ B A Q = 60^{0}$ [ Alt. Segment theorem]
Hence, b is the correct option.

Suggest Corrections

Similar questions

PAQ is a tangent to the circle with center O at a point A as shown in figure. If $∠ O B A = 35^{\circ}$ , find the value of $∠ B A Q$ and $∠ A C B$ . [4 MARKS]

Q. In the following figure, AB is a chord of the circle and AOC is its diameter such that ∠ACB = 50°. If AT is the tangent to the circle at the point A, then ∠BAT is equal to

In the given figure, PAQ is the tangent. BC is the diameter of the circle. If $∠ B A Q = 60^{\circ}$ , then $∠ A B C$ = _____.

Q. In figure,

O

is the centre of the circle,

C A

is tangent at

A

and

C B

is tangent at

B

drawn to the circle. If

∠ A C B = 75^{o}

∠ A O B =

Q. AP and AQ are the two tangents drawn to a circle with centre O, these tangents are inclined to each other at an angle

60^{0}

. Find

∠ A P Q

in the given figure.

Join BYJU'S Learning Program

In the following figure, AQ is a tangent to the circle at A. If ∠ACB=600, then ∠BAQ=

The correct option is B 600 ∠ACB=∠AEB=600 [ Angles on the same segment are equal to each other.] ∠AEB=∠BAQ=600 [ Alt. Segment theorem] Hence, b is the correct option.

In the following figure, AQ is a tangent to the circle at A. If $∠ A C B = 60^{0},$ then $∠ B A Q =$

The correct option is B $60^{0}$

$∠ A C B = ∠ A E B = 60^{0}$ [ Angles on the same segment are equal to each other.]
$∠ A E B = ∠ B A Q = 60^{0}$ [ Alt. Segment theorem]
Hence, b is the correct option.