Geometry is an essential subject to be studied by students applying for various competitive exams such as SSC CGL, SSC CPO, SSC CHSL, SSC CGL Mains, Railway exams etc. Geometry is considered one of the oldest yet integral branches of Mathematics. The term "geometry" was derived from the Greek words 'geo' meaning earth and 'metron' meaning measure. It is the study of object/s and their relation to individual shapes, spatial relations and configurations of geometric objects such as points, lines, and circles among many. Geometry is used when the physical parameters of any object need to be measured or quantified. And to find the length, area or/and volume of two-dimensional (plane) and three-dimensional (solid) structures.
Study geometry formulas, geometry topics; find SSC geometry syllabus and important SSC geometry notes at BYJU'S Exam Prep. Now you can solve geometry questions SSC CGL in the latest test series provided by BYJU'S Exam Prep. Let's look into some of the major branches or subparts of geometry.
Important Geometry topics
Also called parabolic geometry; it is the study of plane and solid figures (points, lines, circles and other shapes) based on Euclid’s five postulates and the axioms and theorems attributed to him.
Anything not included in Euclidean geometry is Non-Euclidean geometry. It consists of spherical and hyperbolic geometry.
When an object is projected onto another surface, the resulting geometric images or maps are studied in this field—study of projections of geometric figures.
Curves, surfaces and manifolds are studied in this branch of geometry. It also employs the usage of calculus and algebra in its problems.
Also called Analytic geometry. It is the type of geometry where the position of a point is always mentioned in coordinates.
It is the newest addition to the field of geometry and mathematics itself. It is the study of geometric objects which are resistant to change upon their exposure to continuous deformations such as tearing, shrinking, folding and stretching.
Important Concepts of Planar and Solid Geometry
- A point is represented as a dot is a precise location presented on a plane. No two points can be at the same location on a plane.
- A line is a series of points presented one after another as straight without curves and no difference in the density of points at one place.
- A circle is a series of points, but they are not presented as a line. Instead, they join to make a closed shape in which each point is the same distance from the centre of the shape. Important parts of a circle are radius, diameter, chord, tangent, and secant.
- A Polygon is a flat-faced figure which is bound by a finite or countable number of straight lines. It forms a closed shape with more than two sides. Example: triangle, quadrilateral, pentagon, hexagon and so on.
Solid geometry is for geometric figures like prisms, cubes, spheres etc. These three- dimensional structures are presented on a paper as two-dimensional but what makes them significant is that they are a presentation obtained by the rotation of a 2-D structure. They involve the study of:
- Edges: the boundary of a geometric shape/figure which is presented as a line segment. Adjacent sides, i.e., edges, are joined to form a polygon.
- Vertices: these are the points where edges of a shape meet. They are distinct points where lines can be joined.
- Faces: these are the 2-D shapes created when more than two edges of a polygon join at vertices. They are flat surfaces which constitute the surface area of an object/shape.
Tips to Solve/ Prepare for Geometry Questions.
To match your pace with the speed of problem-solving skills in competitive exams, you must know a few tricks of how to get a grip on geometry. Below are a few tips you need to follow for geometry:
- Create marking to ensure that the figure drawn/given matches the facts provided in the question.
- Analyze the question. Find out what exactly is asked and club factual information with the solution and link it up backwards.
- Construct the situation: critical in geometry; it is important to visualize and construct the shape/figure present in the question.
- Simplify complex problems and use Basic Proportionality Theorem wherever possible.
Importance of Geometry Section in Competitive exams such as SSC CGL and Railways.
In SSC and/or railway exams the geometry section plays an important role. For the Tier1 section on average 4-6 questions will appear, and for the Tier 2 section of Mathematics, around 11-14 questions might appear. Given this is a scoring subject if understood and practised properly, maximum chances of obtaining marks is possible.
Most Recommended Books for Geometry.
Preliminary preparation for geometry must begin from class 9th and 10th mathematics textbooks. Gradually move to R.D. Sharma for Mathematics (9th and 10th).
Refer to Rakesh Yadav Sir’s Advanced Mathematics and Quantum CAT by Sarvesh Sharma for advanced preparation of Geometry.
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BYJU'S Exam Prep is a great platform where you can access test series specifically designed to improve your problem skills. A wide range of SSC geometry Topics is available to explain every step in detail. BYJU'S Exam Prep has different varieties of practice materials you can opt. Starting from course material then to problems, previous year questions, and test series and quizzes. By the time you finish all this, your problem-solving skills will be strong.
Frequently asked questions
- Why is geometry important in competitive exams?
Geometry carries a huge weightage, and it is relatively approachable hence solvable. Tier 1 constitutes 4-6 questions, and Tier-2 comprises 11 to 14 questions in UGC CGL examinations
- Where is geometry used?
Geometry has the most practical applications in our daily life. From measuring things to constructing them, everything uses geometry. It is used to build things, map objects, reflect projections and create graphics and animations. It is practically applied everywhere.
- How is geometry divided?
Geometry is broadly divided into planar and solid geometry which further includes sub-branches like Euclidean Geometry and Analytic geometry among others.
- Is geometry easy?
Yes, geometry is easy. Once concepts are understood, one needs to practice geometry regularly, to enhance one’s problem-solving skills.
- How is euclidean geometry different from non-euclidean geometry?
Euclidean geometry is used for plane surfaces and objects, whereas Non-Euclidean geometry is used for curved surfaces and hyperbolic figures.