Tangent drawn from a point X, touches th

CUET Preparation Today

Start Free Mocks

Home Questions AMZW4VKG9A

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Tangent drawn from a point X, touches the circle at U. O is the centre of this circle. If XU = 15 cm and OU = 8 cm, then what is the value of OX?

Options:

12 cm

19 cm

21 cm

17 cm

Correct Answer:

17 cm

Explanation:

We know that , Radius touches tangent UX at 90º

By using pythagoras theorem,

h² = b² + p²

OX² = OU² + UX²

OX² = 8² + 15²

OX² = 64 + 225

OX² = 289

OX = 17 cm