Q. 63.8( 6 Votes )

In figure, AT is a tangent to the circle with center 0 such that OT = 4 cm and OTA = 30°. Then, AT is equal to


A. 4 cm

B. 2 cm

C.

D.

Answer :

Given : A circle with center O and a tangent AT passing through point A on the circle, also OT = 4 cm and OTA = 30°


To find : Length of AT


Construction : Join OA.



We know that, the tangent at any point of a circle is perpendicular to the radius through the point of contact.


So we have


OA AT


Therefore, OAT = 90°


In OAT


Using



We have,




Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Testing Your Knowledge on CirclesQuiz | Testing Your Knowledge on CirclesQuiz | Testing Your Knowledge on Circles32 mins
Quiz | Imp. Qs. on CircleQuiz | Imp. Qs. on CircleQuiz | Imp. Qs. on Circle35 mins
Important Questions on CirclesImportant Questions on CirclesImportant Questions on Circles46 mins
Smart Revision | CirclesSmart Revision | CirclesSmart Revision | Circles44 mins
Quiz | Imp. Qs. on CirclesQuiz | Imp. Qs. on CirclesQuiz | Imp. Qs. on Circles37 mins
RD Sharma |  Important Questions on CirclesRD Sharma |  Important Questions on CirclesRD Sharma | Important Questions on Circles36 mins
Short Cut Trick to Find Area of TriangleShort Cut Trick to Find Area of TriangleShort Cut Trick to Find Area of Triangle43 mins
Tangent from an External PointTangent from an External PointTangent from an External Point54 mins
RD Sharma | Most Important Questions of CirclesRD Sharma | Most Important Questions of CirclesRD Sharma | Most Important Questions of Circles35 mins
RD Sharma | Imp Qs Discussion on Area Related With CirclesRD Sharma | Imp Qs Discussion on Area Related With CirclesRD Sharma | Imp Qs Discussion on Area Related With Circles41 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
caricature
view all courses