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CIRCLE AND TANGENTS - Notes PDF

Written by - Competition Zenith Hello Readers, Circles and Tangents have always been one of the favourite sections of SSC. In previous exams SSC has asked a lot from this section and basics of this section are all we have to learn to come out good in the same. We have prepared notes on Circles and tangents in the most brief yet complete way. Download the pdf to to complete the topic. CLICK HERE to Download the PDF 

Triangle Part - II ( Advanced)

If two triangles are congruent they have equal sides, equal areas.  Condition for Congruence SAS Theorem: If two sides and the angle between these two sides (included angle) of one triangle are congruent to the corresponding two sides and the included angle of a saecond triangle, then the two triangles are congruent Example: AAS Theorem: If two angles and a side not between these two angles of one triangle are congruent to two angles and the corresponding side not between these two angles of a second triangle, then the two triangles are congruent Example : Hypotenuse-Leg Theorem: If the hypotenuse and leg of a right triangle are congruent to the hypotenuse and corresponding leg of a second right triangle, then the two triangles are congruent Example : Pythagoras’ Theorem:   In a right angle triangle the square of the hypotenuse is equal to the sum of the squares of other two sides. b 2 =a 2 +c 2 Pythagorean ...

Triangle Part -1 ( Basic)

Triangle A triangle is a closed plane figure which has three sides. The word "triangle" is a Greek word. " Tri " means " three ". Hence, it refers to a shape consisting of three internal angles and three sides. The general shape of a triangle is shown below. A triangle is named by the letters of the vertices. Normally, upper case letters are used to denote the vertices. The triangle shown above is called △ ABC Triangle Definition A triangle is a polygon having three sides. A perpendicular drawen from a vertex to the opposite side is called as the height of triangle and is denoted as 'h'. Triangle Angles A  triangle  is a closed plane figure which has three angles. The sum of all the interior angles of a triangle is 180 degrees. The interior angles are denoted by the name of the vertex. ∠A + ∠B + ∠C = 180 o . Classifying Triangles Triangles are classified on the basis of their angles and sides: ...

Line and Angles

Geometry is basically the study of different properties of point, line and plane. The three angles in a triangle always add up to 180 0 The three angles of an equilateral triangle are all equal to 60 0 Two angles of an isosceles triangle are equal. One angle of a right-angled triangle is 90 0 All angles of an acute-angled triangle are acute angles, thus smaller than 90 0 One angle of an obtuse-angled triangle is obtuse, thus larger than 90 0 and smaller than 180 0 Angle: An angle is formed by two rays originating from the same end point. The rays making an angle are called the arms of the angle and the end-points are called the vertex of the angle. Types of Angles: - (i) Acute angle:  - An angle whose measure lies between 0° and 90°, is called an acute angle. (ii) Right angle:  - An angle, whose measure is equal to 90°, is called a right angle. (iii) Obtuse angle:  - An angle, w...