Meera notices that as she increases a parameter, an upward parabola slides down until it just touches the x-axis, then crosses it at two points. List the number of real zeroes in the three stages (above, touching, crossing) in order.

Question

Accepted Answer

0, 1, 2. Above the axis: no intersection (0 zeroes). Just touching: one repeated zero (1). Crossing at two points: 2 zeroes. Order is 0, 1, 2.

Meera notices that as she increases a parameter, an upward parabola slides down until it just touches the $x$ -axis, then crosses it at two points.
List the number of real zeroes in the three stages (above, touching, crossing) in order.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Graphical Meaning of Zeroes practice

Meera notices that as she increases a parameter, an upward parabola slides down until it just touches the x-axis, then crosses it at two points.List the number of real zeroes in the three stages (above, touching, crossing) in order.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Graphical Meaning of Zeroes practice

Meera notices that as she increases a parameter, an upward parabola slides down until it just touches the $x$ -axis, then crosses it at two points.
List the number of real zeroes in the three stages (above, touching, crossing) in order.