MATHS PART 02 ( 10TH STD )

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About Course

TOPICS

LESSON 01 : Similarity

LESSON 02 :Pythagoras Theorem

LESSON 03 :Circle

LESSON 04 :Geometric Constructions

LESSON 05 :Co-ordinate Geometry

LESSON 06 :Trigonometry

LESSON 07 :Mensuration

Course Content

LESSON 01 : Similarity
• Ratio of areas of two triangles • Basic proportionality theorem • Converse of basic proportionality theorem • Tests of similarity of triangles • Property of an angle bisector of a triangle • Property of areas of similar triangles • The ratio of the intercepts made on the transversals by three parallel lines

01 Ratio Of Areas Of Two Triangles
02 Basic Properties Of Theorum
03 Test Of Similarity Of Triangles
04 Area Of Similar Triangles
05 Area Of Similar Triangles
06 Practice Set

LESSON 02 :Pythagoras Theorem
• Ratio of areas of two triangles • Basic proportionality theorem • Converse of basic proportionality theorem • Tests of similarity of triangles • Property of an angle bisector of a triangle • Property of areas of similar triangles • The ratio of the intercepts made on the transversals by three parallel lines

LESSON 03 :Circle
· Circles passing through one, two,three points · Secant and tangent · Circles touching each other · Arc of a circle · Inscribed angle and intercepted arc · Cyclic quadrilateral · Secant tangent angle theorem · Theorem of intersecting chords

LESSON 04 :Geometric Constructions
· Construction of a triangle similar to the given triangle * To construct a triangle, similar to the given triangle, bearing the given ratio with the sides of the given triangle. (i) When vertices are distinct (ii) When one vertex is common · Construction of a tangent to a circle. * To construct a tangent at a point on the circle. (i) Using centre of the circle. (ii) Without using the centre of the circle. * To construct tangents to the given circle from a point outside the circle

LESSON 05 :Co-ordinate Geometry
· Distance formula · Section formula · Slope of a line

LESSON 06 :Trigonometry
• Trigonometric ratios • Trigonometric identities • Angle of elevation and angle of depression • Problems based on heights and distances

LESSON 07 :Mensuration
• Mixed examples on surface area and volume of different solid figures • Arc of circle - length of arc • Area of a sector • Area of segment of a circle