Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

AB is a diameter of a circle with centre O. The tangent at a point C on the circle AB, when produced, meet at the point P. If ∠APC = 38o, then what is the measure of ∠PCB ?

Options:

23o

26o

29o

19o

Correct Answer:

26o

Explanation:

We have a shortcut,

The value of ∠PCB =

∠PCB = \(\frac{90 - ∠APC}{2}\)  

= \(\frac{90 - 38}{2}\) 

= \(\frac{52}{2}\)  = 26o