Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In a circle centred at O, a tangent AP is drawn from an external point A. If OA = 13 cm and OP = 5 cm, then the length of tangent AP is:

Options:

10 cm

8 cm

18 cm

12 cm

Correct Answer:

12 cm

Explanation:

We know that,

(Hypotnuese)2 = (Perpendicular)2 + (Base)2

We have,

OA = 13 cm 

OP = 5cm 

= (OA)2 = (AP)2 + (OP)2

= 132 = AP2 + 52 

= AP = 12 cm