Video Lessons for Mathematics

Topics covered: 1) area of sector of circle 2) lenght of arc of sector of circle 3) area of segment

Maths most important questions for some chapters are mentioned in this video

Here in this video you will learn about what is integers. basic concepts of integers

Complete concept on number system from basic.

Quadratic equations | exercise 4.1 (2-iv) 2. represent the following situations in the form of quadratic equations: (iv) a train travels a distance of 480 km at a uniform speed. if the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. we need to find the speed of the train.

Quadratic equations | exercise 4.1 2(iii) 2. represent the following situations in the form of quadratic equations: (iii) rohan’s mother is 26 years older than him. the product of their ages (in years) 3 years from now will be 360. we would like to find rohan’s present age.

Quadratic equations | exercise 4.1 2(ii) 2. represent the following situations in the form of quadratic equations: (ii) the product of two consecutive positive integers is 306. we need to find the integers.

Quadratic equations | exercise 4.1 2(i) 2. represent the following situations in the form of quadratic equations: (i) the area of a rectangular plot is 528 m2. the length of the plot (in metres) is one more than twice its breadth. we need to find the length and breadth of the plot.

Quadratic equations | exercise 4.1(1-vi, vii, viii) 1. check whether the following are quadratic equations: (vi) x2 + 3x + 1 = (x – 2)2 (vii) (x + 2)3 = 2x (x2 – 1) (viii) x3 – 4x2 – x + 1 = (x – 2)3

Quadratic equations | exercise 4.1(1-iv, v) 1. check whether the following are quadratic equations: (iv) (x – 3)(2x +1) = x(x + 5) (v) (2x – 1)(x – 3) = (x + 5)(x – 1)

Quadratic equations | exercise 4.1 1(i) 1. check whether the following are quadratic equations: (ii) x2 – 2x = (–2) (3 – x) (iii) (x – 2)(x + 1) = (x – 1)(x + 3)

Quadratic equations | exercise 4.1 1(i) 1. check whether the following are quadratic equations: (i) (x + 1)2 = 2(x – 3)

Quadratic equations | introduction 2

Quadratic equations | intro 1

Introduction to number system

Prove that √(5) is an irrational number.

Prove that √(2) is an irrational number.

(iii) roohi travels 300 km to her home partly by train and partly by bus. she takes 4 hours if she travels 60 km by train and the remaining by bus. if she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. find the speed of the train and the bus separately.

(ii) 2 women and 5 men can together finish an embroidery work in 4 days, while 3 women and 6 men can finish it in 3 days. find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone.

(i) ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. find her speed of rowing in still water and the speed of the current.

1) solve the following pairs of equations by reducing them to a pair of linear equations: 1/(3x+y)+ 1/(3x-y)=3/4, 1/(2(3x+y))- 1/(2(3x-y))=(-1)/8

1) solve the following pairs of equations by reducing them to a pair of linear equations: 10/(x+y)+ 2/(x-y)=4, 15/(x+y)- 5/(x-y)= -2

1) solve the following pairs of equations by reducing them to a pair of linear equations: 6x+3y=6xy, 2x+4y=5xy

1) solve the following pairs of equations by reducing them to a pair of linear equations: (7x-2y)/xy=5, (8x+7y)/xy=15

5/(x-1)+ 1/(y-2)=2, 6/(x-1)- 3/(y-2)=1

5/(x-1)+ 1/(y-2)=2, 6/(x-1)- 3/(y-2)=1

4/x+ 3y=14, 3/x- 4y=23

2/√x+ 3/√y=2, 4/√x- 9/√y=-1

Solve the following pairs of equations by reducing them to a pair of linear equations: 1/2x+ 1/3y=2, 1/3x+ 1/2y=13/6

(v) the area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. if we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. find the dimensions of the rectangle.

(iv) places a and b are 100 km apart on a highway. one car starts from a and another from b at the same time. if the cars travel in the same direction at different speeds, they meet in 5 hours. if they travel towards each other, they meet in 1 hour. what are the speeds of the two cars?

(iii) yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then yash would have scored 50 marks. how many questions were there in the test?