Question

Assertion(A): If one root of the quadratic equation 6x² – x – k = 0 is 2/3, then the value of k is 2. Reason(R): The quadratic equation ax² + bx + c = 0, a ≠ 0 has almost two roots.

Assertion (A): The solution of the quadratic equation (x-1)² - 5(x-1) - 6 = 0 is 7 Reason (R): The solution of the equation x² + 5x - (a² + a - 6) = 0 is a + 3

If 1 is a root of the equations ay² + ay + 3 = 0 and y² + y + b = 0, then find the value of ab.

If x = 3 is one root of the quadratic equation x² – 2kx – 6 = 0, then find the value of k.