CBSE Class 10 2026

[CBSE Class 10 2026] :Finding the Angle Between Tangents , PA & PB are tangents to a circle centred at O, If…

Here is a classic geometry problem involving a circle and its tangents. We have a circle with center O, and two tangents, PA and PB, drawn from an external point P. We're given that angle OAB is 15 degrees, and we need to find angle APB.

Let's focus on the angle we know. The line segment OA is a radius, and so is OB. Because all radii of a circle are equal, triangle OAB is an isosceles triangle.

Now, let's recall a fundamental property of tangents. A tangent to a circle is always perpendicular to the radius at the point of contact. This means the entire angle OAP is exactly 90 degrees.