If the quadratic equation kx² + kx + 1 = 0 has real and distinct roots, the value of k is :

1. 0

2. 4

3. 0 and 4

4. 0 or 4

If x² - 4x = 5, the value of x is :

1. 5

2. -1

3. 5 or -1

4. 5 and -1

If x = 1 is a root of the equation $\sqrt{x} + kx - 2$ = 0; the value of k is :

1. 1

2. -1

3. 2

4. -2

The equation $\sqrt{15 - 2x} = x$.

Assertion (A): x = 3.

Reason (R): $\sqrt{15 - 2x} = x$

$\Rightarrow 15 - 2x = x^2 \\[1em] \Rightarrow x^2 - 2x - 15 = 0 \\[1em] \Rightarrow x = -5 \text{ or } x = 3$

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true and R is correct reason for A.

4. Both A and R are true and R is incorrect reason for A.