NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.3 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.3.
- Quadratic Equations Class 10 Ex 4.1
- Quadratic Equations Class 10 Ex 4.2
- Quadratic Equations Class 10 Ex 4.3
- Quadratic Equations Class 10 Ex 4.4
| Board | CBSE |
| Textbook | NCERT |
| Class | Class 10 |
| Subject | Maths |
| Chapter | Chapter 4 |
| Chapter Name | Quadratic Equations |
| Exercise | Ex 4.3 |
| Number of Questions Solved | 11 |
| Category | NCERT Solutions |
NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations Ex 4.3
Ex 4.3 Class 10 Maths Question 1.
Find the roots of the following quadratic equations, if they exist, by the method of completing the square:
(i) 2x2 – 7x + 3 = 0
(ii) 2x2 + x – 4 = 0
(iii) 4x2 + \(4\sqrt { 3 } x\) + 3 = 0
(iv) 2x2 + x + 4 = 0
Solution:
Ex 4.3 Class 10 Maths Question 2.
Find the roots of the quadratic equations given in question 1 above by applying the quadratic formula.
Solution:
(i) Given: 2x2 – 7x + 3 = 0
Comparing it with ax2 + bx + c = 0,
we get:
(ii) Given: 2x2 – x + 4 = 0
Comparing it with ax2 + bx + c = 0,
we get:
(iii) Given: 4x2 – \(4\sqrt { 3 } x\) + 3 = 0
(iv) Given: 2x2 – x + 4 = 0
Note: To solve question numbers 3 – 11, either of the two methods stated above can be followed.]
Ex 4.3 Class 10 Maths Question 3.
Find the roots of the following equations:
Solution:
Ex 4.3 Class 10 Maths Question 4.
The sum of the reciprocals of Rehman’s ages, (in years) 3 years ago and 5 years from now is \(\frac { 1 }{ 3 }\) Find his present age.
Solution:
Let the present age of Rehman be x years
Then, 3 years ago Rehman’s age was = (x – 3) years
5 years from now Rehman’s age will be = (x + 5) years
Ex 4.3 Class 10 Maths Question 5.
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.
Solution:
Ex 4.3 Class 10 Maths Question 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.
Solution:
Ex 4.3 Class 10 Maths Question 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.
Solution:
Let the smaller number = x
Then, larger number will be \(\frac { { x }^{ 2 } }{ 8 } \)
According to question, we have:
Ex 4.3 Class 10 Maths Question 8.
A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.
Solution:
Ex 4.3 Class 10 Maths Question 9.
Two water taps together can fill a tank in 9\(\frac { 3 }{ 8 }\) 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.
Solution:
Let the smaller tap takes x h to fill the tank.
Then, larger tap will take (x – 10)h to fill the same tank.
If the two work together, the amount of water following in one hour = \(\frac { 1 }{ x } \quad +\quad \frac { 1 }{ x-10 } \)
According to the question, we have:
Ex 4.3 Class 10 Maths Question 10.
An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bengaluru (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.
Solution:
Ex 4.3 Class 10 Maths Question 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.
Solution:
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