In December 2021, IIT-_______ signed an MoU with the

If x² + 2x + 9 = (x – 2) (x – 3), then the resultant equation is:

What will be the product of smaller roots of both equations. 

I. 40 x² - 93 x + 54 = 0

II. 30 y² - 61 y + 30 = 0

I. 27x⁶ - 152x³ + 125 = 0

II. 216y⁶ - 91y³ + 8 = 0

I. x² – 9x + 18 = 0

II. y² – 5y + 6 = 0

Solve the quadratic equations and determine the relation between x and y:

Equation 1: 3x² + 6x - 9 = 0

Equation 2: 2y² - 16y + 32 = 0

I. 117x² + 250x + 117 = 0

II. 54y² -123y + 65 = 0

Solve the quadratic equations and determine the relation between x and y:

Equation 1: 19x² - 92x + 73 = 0

Equation 2: 17y² - 76y + 59 = 0

I. x² – 13x + 40 = 0

II. 2y² – 15y + 13 = 0 

In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer