Angle subtend by chord at a point||Theorem 10.1,10.2,10.3,10.4 & proOF ||Discussion OF Ex-10.3

Number OF tangent on Circle|| Point inside , outside , on circle || Theorem 10.2 proOF || Note points and special cases || Cyclic quadrilateral || Quadrilateral PROQ is kite ||Circumcircle OF PRQ || Concentric circle || Chord OF contact OF circle

Surface Area OF a Combination solids||Discussion OF Ex.-13.10 ||Examples

Theorem 10.2 : If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal.

Similarity OF triangles || Basic proportionality theorem (Thales theorem) || Discussion OF examplar question || Ex- 6.2, theorem 6.1, 6.2 proOF

Theorem 10.8 : The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

If a,b,c are in A.P., then 10^(ax+10),10^(bx+10) ,10^(ex +10) are in -

Ex-3 (10-21)

Find the angle subtended at the origin by the line segment whose end points are (0,10) and (10,0)