Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

AB and CD are common tangents to two circles intersecting at P and Q. PQ when produced both sides, meet the tangents AB and CD at X and Y, respectively. If PQ = 3 cm, XY = 5 cm, then AB (in cm) will be?

Options:

2 cm

1 cm

4 cm

5 cm

Correct Answer:

4 cm

Explanation:

AX is tangent and XQ is secant.

AX2 = XP × XQ

a2 = 1 × 4

a = 2 ⇒ AB = 4 cm