To draw a pair of tangents to a circle which are inclined to each other at an angle of 45∘, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be
A
135
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
60
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
45
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
90
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A135
In quad. APBO, ∠A=∠B=90∘ (radius ⊥ tangent) ∠A+∠B+∠P+∠O=360∘ ⇒90∘+90∘+45∘+∠0=360∘ ⇒225∘+∠0=360∘ ⇒∠0=360∘−225∘ ∴∠0=135∘ ⇒x=135∘ ⇒ Option (a).