Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

From a point P outside a circle, PAB is secant and PT is a tangent to the circle, where A, B and T are points on the circle.  If PT = 6 cm, PA = 5 cm and AB = x cm, then the value of x is?

Options:

11 cm

10 cm

5.5 cm

2.2 cm

Correct Answer:

2.2 cm

Explanation:

PA × PB = PT2

5 (5 + x) = 36

25 + 5x = 36

x = \(\frac{11}{5}\) = 2.2 cm