Question

Assertion (A): PA and PB are two tangents to a circle with centre O such that ∠AOB = 110°, then ∠APB = 90°.
Reason (R): The length of two tangents drawn from an external point are equal.

Answer 1

Answer:

Given, PA and PB are tangents to a circle with center O, with ∠AOB = 110o .

Now, we know that tangents drawn from an external point are perpendicular to the radius at the point of contact

Answer 2

Answer:

d) Assertion is false but Reason is true

Step by Step Explanation:

A)Angle PAO= Angle PBO=90° ( radius tangent perpendicularity theorem)

in a quadrilateral PAOB,

<AOB+<APB+<PAO+<PBO=360°

110°+<APB+90°+90°=360°

110°+180°+<APB=360°

290°+<APB=360°

<APB=360°-290°

Therefore;<APB=70°

Therefore;Assertion is false

R)We know that lengths of 2 tangents drawn from an external point are equal by theorem 10.2

Therefore;Reason is true

Therefore;The answer is option D) Assertion (A) is false but,Reason (R) is true