Question

In the given diagram, if $l$ and $m$ are two tangents and $AB$ is a chord making an angle of ${60}^0$ with the tangent $l$, then the angle between $l$ and $m$ is

• A. ${45}^0$
• B. ${30}^0$
• C. ${60}^0$
• D. ${90}^0$

Answer 1

Answer: (C)

${60}^0$

Tangents drawn from an external point are equal.
Thus $\Delta ABP$ becomes an isosceles triangle.
Hence $\angle PAB=\angle PBA={60}^0$
Thus third angle of the triangle becomes ${60}^0.$