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## Thursday, June 9, 2022 AP Board Class 10 Maths Chapter 5 Quadratic Equations InText Questions Textbook Solutions PDF: Download Andhra Pradesh Board STD 10th Maths Chapter 5 Quadratic Equations InText Questions Book Answers

## Andhra Pradesh State Board Class 10th Maths Chapter 5 Quadratic Equations InText Questions Books Solutions

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Find below the list of all AP Board Class 10th Maths Chapter 5 Quadratic Equations InText Questions Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

### 10th Class Maths 5th Lesson Quadratic Equations InText Questions and Answers

Try this

Question 1.
Check whether the following equations are quadratic or not. (Page No. 102)
i) x2 – 6x – 4 = 0
ii) x3 – 6x2 + 2x – 1 = 0
iii) 7x = 2x2
iv) x2 + 1𝐱2 = 2
v) (2x + 1) (3x + 1) = 6(x – 1) (x – 2)
vi) 3y2 = 192
i) x2 – 6x – 4 = 0
ii) x3 – 6x2 + 2x – 1 =0
No. It is not a quadratic equation. [∵ degree is 3]
iii) 7x = 2x2
iv) 2 + 1𝐱2 = 2
No. It is not a quadratic equation. [∵ degree is 4]
v) (2x + 1) (3x + 1) = 6(x – 1) (x – 2) No. It is not a quadratic equation, [∵ co-efficient of x2 on both sides is same i.e. 6]
vi) 3y2 = 192

Try this

Question 1.
Verify that 1 and 32 are the roots of the equation 2x2 – 5x + 3 = 0. (Page No. 107)
Let the given Q.E. be p(x) = 2x2 – 5x + 3
Now p(1) = 2(1)2 – 5(1) + 3
= 2 – 5 + 3 = 0
∴ 1 is a root of 2x2 – 5x + 3 = 0
also p(32) = 2(32)2 – 5(32) + 3
= 2 × 94 – 152 + 3
= 92 + 3 – 152
= 9+6−152 = 0
∴ 32 is also a root of 2x2 – 5x + 3 = 0.

Do this

Question 1.
Solve the equations by completing the square. (Page No. 113)
i) x2 – 10x + 9 = 0
Given: x2 – 10x + 9 = 0
⇒ x2 – 10x = -9
⇒ x2 – 2.x.5 = -9
⇒ x2 – 2.x.5 + 52 = -9 + 52
⇒ (x – 5)2 = 16
∴ x – 5 = ± 4
∴ x – 5 = 4 (or) x – 5 = -4
⇒ x = 9 (or) x = 1
⇒ x = 9 (or) 1

ii) x2 – 5x + 5 = 0
Given: x2 – 5x + 5 = 0
⇒ x2 – 5x = 5 iii) x2 + 7x-6 = 0
x2 + 7x – 6 = 0
x2 + 7x = 6  Think & Discuss

Question 1.
We have three methods to solve a quadratic equation. Among these three, which method would you like to use 7 Why? (Page No. 115)
If the Q.E. has distinct and real roots, we use factorisation. If Q.E. has no real roots, we use quadratic formula.

Try these

Question 1.
Explain the benefits of evaluating the discriminant of a quadratic equation before attempting to solve it. What does its value signifies? (Page No. 122)
The discriminant b2 – 4ac of a Q.E.
ax2 + bx + c = 0 gives the clear idea about the nature of the roots of the Q.E.
If the discriminant D = b2 – 4ac > 0, the Q.E. has distinct and real roots.
If b2 – 4ac = 0, the Q.E. has equal roots.
If b2 – 4ac < 0, the Q.E. has no real roots.
By the value of the discriminant, we can state the nature of the roots of a Q.E. without actually finding them.

Question 2.
Write three quadratic equations one having two distinct real solutions, one having no real solution and one having exactly one real solution. (Page No. 122) ## Andhra Pradesh Board Class 10th Maths Chapter 5 Quadratic Equations InText Questions Textbooks for Exam Preparations

Andhra Pradesh Board Class 10th Maths Chapter 5 Quadratic Equations InText Questions Textbook Solutions can be of great help in your Andhra Pradesh Board Class 10th Maths Chapter 5 Quadratic Equations InText Questions exam preparation. The AP Board STD 10th Maths Chapter 5 Quadratic Equations InText Questions Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 10th Maths Chapter 5 Quadratic Equations InText Questions Books State Board syllabus with maximum efficiency.

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Yes you can get Andhra Pradesh Board Text Book PDF for all classes using the links provided in the above article.