Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, O is the center of the circle. Circle has 3 tangents. ∠QPR = 50°, then what is the value (in degree) of ∠QOR ?

Options:

65°

67.5°

70°

75°

Correct Answer:

65°

Explanation:

∠PMO = ∠PNO = 90°

(angle made by tangent)

∠MPO = ∠NPO = 25°   (ΔPMO ≅ ΔPNO)

∠QOR = 90° - \(\frac{1P}{2}\) = 90° - 25°

         = 65°