Q. 11 A14.0( 5 Votes )

# A tangent drawn to a circle with centre O from an external point A touches the circle at the point B. If OB = 5cm, AO = 13cm, then the length of AB isA. 12 cmB. 13cmC. 6.5 cmD. 6 cm

The ΔABO formed by joining the three points is always a right angled triangle

AO is the hypotenuse of Δ ABO

Applying Pythagoras theorem :

AB2 = AO2-OB2

AB2 = 132-52

AB2 = 169-25

AB2 = 144

AB = 12 cm.

So Correct Option is (A)

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Area Related with the Circle45 mins
Quiz | Area Related with Circles47 mins
Quiz | A Letter to God39 mins
A Letter to God45 mins
A Letter to God50 mins
How to build a strong Vocabulary?53 mins
Time-Management: A key to Success37 mins
Let's Calculate - A Guide to an Economist's Dictionary54 mins
Tricks to MemoriseFREE Class
Smart and Effective study is the Key of success45 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses