Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, from the point X two tangents XA and XB are drawn to a circle with centre O and radius 5 cm. From the point O, OC and OD are drawn parallel to XA and XB respectively. If the length of two chord AB is 5 cm, then what is the value of (in degrees) of ∠COD?

Options:

120°

140°

135°

90°

Correct Answer:

120°

Explanation:

So, ΔAOB is an equilateral triangle

So, ∠AXB + ∠AOB = 180°

∠AXB = 120°

So XA || OC and XB || OD

so, ∠AXB = ∠COD = 120°