Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Tangent is drawn from a point P to a circle, which meets the circle at T such that PT = 8 cm. A secant PAB intersects the circle in points A and B. If PA= 5 cm, what is the length (in cm) of the chord AB?

Options:

8.0

8.4

6.4

7.8

Correct Answer:

7.8

Explanation:

\( {PT }^{2} \) = PA x PB

= \( {PT }^{2} \) = 5 x PB

= 64 = 5PB

= PB = 12.8cm

Then,

AB = (12.8 - 5) = 7.8 cm.