# NCERT Class 10 Chapter 5 Quadratic Equations Official CBSE Board Sample Problems Very Short Answer

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## Question

**Find the nature of roots of the given quadratic equation:**

### Solution

Since, roots are real and distinct.

## Question

**Is** **a quadratic equation?**

### Solution

Yes, it is a quadratic equation

## Question

**Find the value of k, for which one root of the quadratic equation** **is 6 times the other.**

### Solution

Let *c* and /3 be the roots of the quadratic equation. According to the question

………..(1)

…….(2)

Substitute the value of /3 from equation 2 in equation 1, we get