Which quadratic equation has roots as the abscissa and the ordinate of the point of intersection of the line x = 2 and the curve y = x² − 3?

The given pair of equations is x = 2 and y = x² − 3.

On solving these equations, it is obtained that x = 2 and y = 1.

Thus, the point of intersection of the given line and curve is (2, 1).

Abscissa of the point of intersection = 2

Ordinate of the point of intersection = 1

The quadratic equation whose roots are 2 and 1 is:

(x − 2) (x − 1) = 0

⇒ x² − x − 2x + 2 = 0

⇒ x² − 3x + 2 = 0

Thus, the required quadratic equation is x² − 3x + 2 = 0.