In this post all of you can Check important very short answer type questions to prepare for CBSE Class 10 Maths Term 2 from Chapter 4 Quadratic Equations for Exam 2022.

These set of questions provided here is best to prepare for 2 marks questions from chapter 4 of Class 10 Mathematics. These questions have been prepared by the examination experts for board exams. Every Student can easily read all questions and revise them to score maximum marks in their Mathematics exam 2022.

**Also Read: **CBSE Class 10 Maths Sample Papers

**Also Read:** CBSE Class 10 Maths Term 2 Study Materials

## Chapter 4 – Quadratic Equations

**Que 1. Find the value of p for which the quadratic equation 2x**^{2 }**+ 3 x − p = 0 has real roots.**

**Solutions**: The given quadratic equation is,

2x^{2 }+ 3 x − p = 0

Here,

a = 2, b = 3, c = −p

If the equation is supposed to have real roots, then D≥0. Therefore,

b^{2 }− 4ac ≥ 0

9 − 4 × 2 × (−p) ≥ 0

9 + 8p ≥ 0

p ≤ 9/8

Thus, the values of p for which the equation has real roots are (−∞,9/8].

**Que 2. One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. Then find their present ages**

**Solution**: Let x be the age of the son one year ago, then the age of the man was 8x.

The present age of the son is (x + 1) and that of the man is (8x + 1). Then,

8x + 1 = (x + 1)^{2}

8x + 1 = x^{2 }+ 1 + 2x

x^{2 }= 6x

x = 0,6

As the age cannot be 0, so the value of x is 6.

So, present age of son = (x + 1) = 7 years and present age of man = (8x + 1) = 49 years

**Que 3. Find the sum of the roots of the quadratic equation 3x**^{2 }**– 9x + 5 = 0?**

**Solution: Given,**

The equation as 3x^{2} – 9x + 5 = 0

**To find,**

Sum of the roots in the quadratic equation

Let’s find the roots for the given equation first.

3x^{2} – 9x + 5 = 0

As we know the Quadratic roots formula is,

Now, lets add the roots, we get 18/6 = 3

**Hence, sum of the roots for given equation is 3.**

**Que 4. If 1/2 is a root of the equation x**^{2 }**+ kx – 5/4 = 0 then find the value of k?**

**Solution: Given that,**

1/2 is a root of the equation, x^{2 }+ kx – 5/4 = 0

**To find,**

The value of k.

If 1/2 is the root of given equation, then it will satisfy it. It means put x = 1/2 in the given equation.

**So,**

**Hence, the value of k is 2.**

**Que 5. A natural number, when increased by 12, equals 160 times its reciprocal. Find the number?**

**Solution: **Let the number be x. Then,

x + 12 = 160 × 1/x

x^{2 }+ 12x − 160 = 0

(x + 20)(x − 8) = 0

x = −20,8

Therefore, the required number is 8.