MEDIUM
10th Assam Board
IMPORTANT
Earn 100

In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.

Important Questions on Quadratic Equations

HARD
10th Assam Board
IMPORTANT
MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.3>Q 6
The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.
HARD
10th Assam Board
IMPORTANT
MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.3>Q 7
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.
HARD
10th Assam Board
IMPORTANT
MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.3>Q 8
A train travels 360 km at a uniform speed. If the speed had been 5km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.
HARD
10th Assam Board
IMPORTANT
MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.3>Q 9
Two water taps together can fill a tank in 938 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
MEDIUM
10th Assam Board
IMPORTANT
MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.3>Q 10
An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11 km/h more than that of the passenger train, find the average speed of the two trains.
HARD
10th Assam Board
IMPORTANT
MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.3>Q 11
Sum of the areas of two squares is 468 m2. If the difference of their perimeters is 24 m, find the sides of the two squares.
MEDIUM
10th Assam Board
IMPORTANT
MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.4>Q 1
Find the nature of the roots of the following quadratic equation. If the real roots exist, find them :
 2x2-3x+5=0
 
MEDIUM
10th Assam Board
IMPORTANT
MATHEMATICS Textbook for Class X>Chapter 4 - Quadratic Equations>Exercise 4.4>Q 1

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them.

3x2-43x+4=0