Circle



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Contents

Tangent Theorem & Prcatice Set 3.1


Description: Tangent theorem states that a tangent to a circle is perpendicular to the radius at contact & Prcatice Set 3.1.


Problem Set Part - I & Practice 3.1 Part - II


Description: Solution of Problem Set Part - I & Practice 3.1 Part - II


Problem Set Part -II


Description: Solution of Problem Set Part -II


Problem Set Part -III


Description: Solution of Problem Set Part -III


Tangent Segment Theorem & Problem Set Part -IV


Description: Tangent Segment Theorem states that two tangent segments from a point to a circle are equal in length & Problem Set Part -IV.


Practice Set 3.1 Part - III


Description: Solution of Prcatice Set 3.1 Part - III


Converse of Tangent Theorem & Practice Set 3.2


Description: Converse of Tangent Theorem states that a line perpendicular to a radius is a tangent & Practice Set 3.2.


Practice Set 3.2 Part - II & Problem Set Part - V


Description: Solution of Practice Set 3.2 Part - II & Problem Set Part - V


Practice Set 3.2 Part - III


Description: Solution of Practice Set 3.2 Part - III


Problem Set Part - VI


Description: Solution of Problem Set Part - VI


Problem Set Part - VII & Practice Set 3.3


Description: Solution of Problem Set Part - VII & Practice Set 3.3


Corresponding Theorem (Arc & Chords)


Description: Corresponding Theorem states that equal chords in a circle subtend equal arcs and angles at the center.


Practice Set 3.3 Part - II & Practice Set 3.4


Description: Solution of Practice Set 3.3 Part - II & Practice Set 3.4


Problem Set Part - VII


Description: Solution of Problem Set Part - VII


Practice Set 3.4 Part - II & Problem Set Part - VII


Description: Solution of Practice Set 3.4 Part - II & Problem Set Part - VII


Practice Set 3.5 & Problem Set Part - VIII


Description: Solution of Practice Set 3.5 & Problem Set Part - VIII


Inscribed Angle Theorem


Description: Inscribed Angle Theorem states that an angle inscribed in a circle is half the central angle subtended by the same arc.


Practice Set 3.4 Part-III


Description: Solution of Practice Set 3.4 Part-III


Cyclic Quadrilateral & Practice Set 3.4 Part IV


Description: A cyclic quadrilateral is a four-sided figure with all vertices lying on the circumference of a circle.


Corresponding Theorem (Arc & Chords) Application- I


Description: Theorem states that angles subtended by arcs at the center are double those subtended at circumference.


Corresponding Theorem (Arc & Chords) Application- II


Description: Equal chords in a circle subtend equal angles at the center and equal arcs on circumference.


Practice Set 3.4 Part V


Description: Solution of Practice Set 3.4 Part V


Converse of Cyclic Quadrilateral Theorem


Description: If opposite angles sum to 180°, the quadrilateral can be inscribed in a circle.


Problem Set Part - IX


Description: Solution of Problem Set Part - IX


Concyclic Points


Description: Concyclic points lie on the same circle, sharing a common circumcircle in a geometric plane.


Problem Set Part - X


Description: Solution of Problem Set Part - X


Angle Between Tangent and Secant


Description: The angle between a tangent and secant equals half the intercepted arc's difference.


Problem Set Part - XI


Description: Solution of Problem Set Part - XI


Problem Set Part - XII


Description: Solution of Problem Set Part - XII


Theorem of Internal Division of Chords


Description: A chord's internal division forms equal ratios of segments, maintaining proportionality along intersecting lines.


Practice Set 3.4 Part VI


Description: Solution of Practice Set 3.4 Part VI


Problem Set Part - XIII


Description: Solution of Problem Set Part - XIII


Tangent Secant Theorem


Description: The Tangent Secant Theorem states: tangent² equals the product of external and full secant segments.


Practice Set 3.5


Description: Solution of Practice Set 3.5


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