## exercise 4.1 class 10 maths

1. Check whether the following are quadratic equations :

**2. Represent the following situations in the form of quadratic equations:**

(i) The area of a rectangular plot is 528 mÂ². 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.

Solution: let breath of the rectangular plot be x metre.

So length of the plot = (2x+1)m

Area of rectangular plot= 528 mÂ²

x X (2x + 1) = 528

2xÂ² + x = 528

2xÂ² + x -528 = 0 is required quadratic equation.

(ii) The product of two consecutive positive integers is 306. We need to find the integers.

Solution: let to constructive interiors be x and x + 1

A.T.Q. x(x + 1) = 306

xÂ² + x = 306

xÂ² + x – 306 = 0 is required quadratic equation.

(iv) 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.

Let present age of Rohan be x years and rohan’s mother’s present age be ( x + 26)years

After 3 years rohan’s age = (x + 3)

After 3 years Rohan’s mother’s age = (x+ 26 + 3) yrs

= (x + 29) yrs

A.T.Q. (x + 3) ( x + 29) = 360

xÂ² + 32x – 273 = 0 is required quadratic equation.

(iv) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/hr less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

Ncert Solutions Class 10 Maths Exercise 1.1 https://10thmathsguide.com/exercise-11-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 1.2

Ncert Solutions Class 10 Maths Exercise 2.1 https://10thmathsguide.com/exercise-21-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 2.2

Ncert Solutions Class 10 Maths Exercise 3.1 https://10thmathsguide.com/exercise-31-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 3.2 https://10thmathsguide.com/exercise-32-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 3.3 https://10thmathsguide.com/exercise-33-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.1 https://10thmathsguide.com/exercise-41-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.2 https://10thmathsguide.com/exercise-42-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.3 https://10thmathsguide.com/exercise-43-class-10-maths/

MCQ VIDEOS ALL CHAPTERS CLASS 10 MATHShttps://www.youtube.com/watch?v=-eBlHyBxjLg&list=PL2uPMjJCHErQZZNipbsnagBqPrCU_WRN8

**MCQ Questions for Class 10 Maths all Chapters****https://sharmatutorial.in/category/mcq-class-10-maths/**