Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

A Secant is drawn from a point P to a circle so that it meets the circle first at A, then goes through the center and leaves the circle at B.  If the length of the tangent from P to the circle is 10 cm, and the radius of the circle is 6 cm, then the distance from P to A is?

Options:

2

8

6

10

Correct Answer:

2

Explanation:

OT ⊥ TP  (∠OTP = 90°)

triplets = 6, 8, 10

OP = 8 cm

PA = OP - OA = 8 - 6 = 2 cm