Geometry "Brahmaastra" by Ajay Gulati is the bible for geometry.
Geometry is a branch of mathematics that analyses the sizes, contours, positions angles, and measurements of objects. Flat shapes like squares, circles, and triangles are a part of flat geometry and are called 2D shapes. Solid objects like cubes, cuboids, cones are also known as 3D objects having the third dimension of height or depth.
Geometry for competitive exams plays a very crucial role especially in SSC cgl exams [combine graduate level exam].
In SSC cgl tier 2, geometry plays to win or lose the game. As mathematics is a separate exam in SSC cgl mains exams, so ins can bag good marks in mathematics with the help of geometry.
However, students have a fear of geometry questions especially those that are from the non-mathematics background. Then this book comes as Savior for them.
Book Description
- Basics of geometry Basics questions part-1
- Basics questions part-2
- Basics questions part-3
- Basics questions part-4
- Questions based on angle sum property of a triangle
- Exterior angle property of a triangle
- Concept of isosceles triangle and questions based on the concept that
- angles opposite to equal sides are equal
- Basics of four centers of a triangle
- The angle at the incentre (1)
- Ex-Centre
- Shortcut techniques used in geometry
- Complete basics of an equilateral
- triangle Basic questions on equilateral
- Triangle Questions based then the altitude of an
- equilateral triangle Inradius and circumradius Angle bisector theorem
- The angle between median and angle
- bisectors
- Basics question based on the acute and obtuse angle
- Regular polygon and concept of exterior angles
- Regular polygon and concept of exterior angles
- Concept of stars
- Apollonius theorem Inequalities in a triangle
- Basic proportionality theorem Questions based on the concept of the similarity of triangles Quadrilateral basic questions
- Properties related to circles Conceptual questions related to circles
- Perpendicular radius and chord
- Tangent is perpendicular to the radius at the point of contact
- Cyclic quadrilateral Angle in a semicircle
- A chord subtends equal angles at all points on the same side of the circumference
- Two tangents are drawn from an external
- point to a circle are equal in length Questions based on the concept of equal radii and isosceles triangle
- Length of tangents
- Similarities in a right triangle
- Questions based on Pythagorean triplets
- Questions based on properties of a right triangle
- Questions based on the application of Pythagoras triplets
- Questions based on 30 60 90 triangles
- Questions based on 45-45-90 triangles and 30-30-120 triangles
- Concept of right angle and circle Some typical questions on finding the radius of circles
- Sine and cosine formulae Inradius of a circle
- Square inside a right triangle
- Basic of the area of a triangle
- Basic questions based on the area of a triangle
- Area of a triangle using heron's formula
- Area of an equilateral triangle
- Area of an isosceles triangle Area of a 3,4,5 sight triangle
- Area of a regular hexagon
- Area of similar triangles
- Basics related to area and perimeter of all types of parallelograms (Rectangle and Square and Rhombus)
- Basic questions related to the area and perimeter of a rectangle
- Basic questions related to the area and perimeter of a square
- Area of a square in terms of its diagonal
- The detailed concept of a rhombus
- Breaking up a triangle into smaller part circles inside a square Area is proportional to base and height.
- Area of trapezium
- Basics questions based on rectangle and square
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