CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

In figure, AB is a chord of the circle and AOC is its diameter such that ACB=50. If AT is the tangent to the circle at the point A, then BAT is equal to:


Solution

The correct option is C
In figure AOC is a diameter of the circle. We know that, diameter subtends an angle 90 at the circle. 
So, ABC=90
In ABC,A+B+C=180     [Since, sum of all angles of a triangle is 180 ]
A+90+50=180
A+140=180
A=180140=40
           A or OAB = 40
Now, AT is the tangent to the circle at point A. So, OA is perpendicular to AT
OAT=90
OAB+BAT=90
On putting OAB=40, we get
BAT=9040=50
Hence, the value of BAT is 50.

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image