| What to create | Quiz |
| Which subject | Mathematics |
| What age group | Year or Grade 10 |
| What topic | Distance and Parabola |
| Question types | Mixed |
| Number of questions | 10 |
| Number of answers | 4 |
| Correct answers | Exactly 1 |
| Show correct answers | |
| Use images (descriptions) | |
| Any other preferences |
Answer all questions. For questions that include multiple-choice answers, select the correct option by marking it appropriately.
The image of a Cartesian coordinate plane with a specific point marked at (3, 4) and the origin (0,0) visibly labeled.
What is the distance between the point (3, 4) and the origin (0, 0)?
The image of a parabola opening upward, with its vertex positioned at the origin (0, 0) and passing through the point (2, 4).
Write the equation of the parabola.
The image of a line segment connecting the coordinates (1, 1) and (4, 5).
Calculate the length of the line segment.
The image of a graph showing a parabola with vertex at (1, -2) and a point (1, 0) visibly highlighted.
In this case, what is the direction of the parabola?
The image of the distance formula, (d = √((x2 - x1)² + (y2 - y1)²)), with sample points (2, 3) and (5, 7) demonstrated.
What is the calculated distance between these points?
The image of the parabola defined by the equation y = x² - 4, with the vertex marked at (0, -4).
What is the y-intercept of this parabola?
The image of a graph displaying two points, A(2, 3) and B(6, 7), with a dashed line connecting them.
What is the midpoint of line segment AB?
The image of two coordinate points (0, 0) and (3, 9) along with a parabolic curve connecting the points.
Is this parabola symmetric?
The image of a parabolic graph with the equation y = -x² + 6x - 8, where the vertex is clearly identified.
What is the vertex of the parabola represented by this equation?
The image of a circle inscribed within a parabola and touching the vertex.
What is the relationship between a parabola and a circle inscribed within it?