**Solution:**

B. x (x + 5) = 2**Explanation:**

It is in the form of ax^{2} + bx + c

**(2.) Out of the following equations which one is not a quadratic equation?**

**A. x ^{2} + 4x = 11 + x^{2}**

B. x^{2} = 4x

C. 5x^{2} = 90

D. 2x – x^{2} = x^{2} + 5

**Solution:**

A. x^{2} + 4x = 11 + x^{2}**Explanation:**

In all other options highest degree of equation is 2, which also the degree of quadratic equation. But in Option A, degree of polynomial is 1

**(3.) The roots of x ^{2} + kx + k = 0 are real and equal, find k.A. 0B. 4C. 0 or 4D. 2**

**Solution:****C. 0 or 4****Explanation:**

**(4.) For √2x ^{2} – 5x + √ 2 = 0 find the value of the discriminant.A. -5B. 17C. 2**

**D. 2 √2 – 5**

**Solution:****B. 17****Explanation:**

**(5.) Which of the following quadratic equations has roots 3, 5?A. x ^{2} – 15x + 8 = 0B. x^{2} – 8x + 15 = 0C. x^{2} + 3x + 5 = 0D. x^{2} + 8x – 15 = 0**

**Solution:**

B. x^{2} – 8x + 15 = 0**Explanation:**

**(6.) Out of the following equations, find the equation having the sum of its roots -5.A. 3x ^{2} – 15x + 3 = 0B. x^{2} – 5x + 3 = 0C. x^{2} + 3x – 5 = 0D. 3x^{2} + 15x + 3 = 0**

**Solution:**

A. 3x^{2} – 15x + 3 = 0**Explanation:**

**(7.) √5 m ^{2} – √5m + √5 = 0 which of the following statement is true for this given equation?A. Real and unequal rootsB. Real and equal rootsC. Roots are not realD. Three roots.**

**Solution:**

C. Roots are not real**Explanation:**

**(8.) One of the roots of equation x ^{2} + mx – 5 = 0 is 2; find m.A. -2B. – ½C. ½D. 2**

**Solution:**

C. ½**Explanation:**