In this chapter, you will be introduced to quadratic equations and the methods to find quadratic roots. It teaches you the three methods of finding roots – factorization, completing the square and the quadratic formula and how to calculate the type of roots beforehand using the discriminant of the quadratic equation.
This chapter teaches you about the arithmetic progression and other terms related to it such as common difference, the first term, nth term, and also the sum of all the numbers in a given arithmetic progression. It tells you the relationship between the nth term of the progression and sum of n terms of the same.
In this chapter, you will be introduced to the concept of similar triangles and the different criteria by which the similarities can be established, Basic proportionality theorem, Pythagoras theorem, and several other important theorems.
You will be introduced to new concepts such as distance formula and section formula besides the revision of abscissa and ordinate of point and an interesting method to calculate the area of a triangle using coordinate geometry.
In this chapter, you will learn how to divide a line segment in a given ratio and construction of a triangle similar to another triangle on a given scale and how to construct two tangents on a circle from an external point.
This chapter includes the circumference of a circle, area of circles, the length of an arc with a given radius with the advanced level of mensuration topics such as areas of sectors and areas of segments in a given circle.