RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 12. Circles

Subject: Maths - Class 10th

Q. No. 1 of Formative Assessment (Unit Test)

Listen NCERT Audio Books to boost your productivity and retention power by 2X.

1

In the given figure, O is the center of a circle, PQ is a chord and the tangent PT at P makes an angle of 50° with PQ. Then, POQ = ?

In the given figure PT is a tangent to circle we have


OPT = 90°


[Tangents drawn at a point on circle is perpendicular to the radius through point of contact]


OPQ + QPT = 90°


OPQ + 50° = 90°


OPQ = 40°


Now, In POQ


OP = OQ


PQO = QPO = 40°


[Angles opposite to equal sides are equal]


Now,


PQO + QPO + POQ = 180° [


By angle sum property of triangle]


40° + 40° + POQ = 180°


POQ = 100°

Chapter Exercises

More Exercise Questions