1. The equation \((a - 2)x^2 + 3x + 5 = 0\) will not be a quadratic equation for the value of \(a =\) ______.

2. Determine for which value of \(a\) the equation \((a - 2)x^2 + 3x + 5 = 0\) will not be a quadratic equation.

(a) \(a=0\) (b) \(a=2\) (c) \(a=4\) (d) \(a=-2\)

3. If the product of the roots of the equation \(x^2 - 3x + k = 10\) is -2, then the value of \(k\) will be _____.

4. Let us determine for which value of \(a\) the equation \((a - 2)x^2 + 3x + 5 = 0\) will **not** be a quadratic equation.

5. Translate and write: If by applying Sridharacharya's formula to the equation \(5x^2 + 2x - 7 = 0\), we get \(x = \cfrac{k \pm 12}{10}\), then what will be the value of \(k\)? Calculate and write it.

6. For which value(s) of \(k\) will the quadratic equation \(3x^2 - 5x + 2k = 0\) have real and equal roots?

7. Calculate the value(s) of \(k\) for which the quadratic equation \(x^2 - 2(5 + 2k)x + 3(7 + 10k) = 0\) will have real and equal roots.