What is the reflection of the point (6, -3) in the line y = 2?
(6, 7)
Reflection in the horizontal line \(y = c\) keeps the x-coordinate and maps \(y \to 2c - y\).
With \((x, y) = (6, -3)\) and \(c = 2\):
\[y' = 2(2) - (-3) = 7\]
Therefore the reflected point is (6, 7).
The area (in sq. units) of the triangle formed by the graphs of 8x + 3y = 24, 2x + 8 = y and the x-axis is:
What is the equation of the line perpendicular to the line 2x + 3y = -6 and having Y-intercept 3?
What is the area (in unit squares) of the triangle enclosed by the graphs of 2x + 5y = 12, x + y = 3 and the x-axis?
What is the reflection of the point (4, -3) in the line y = 1?
What are the coordinates of the reflection of the point (-3, 1) about the line x = -2?
What is the reflection of the point (-4, 3) in the line x = -2?
Point P (-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?
The co-ordinates of the centroid of a triangle ABC are (2, 2). What are the co-ordinates of vertex C if co-ordinates of A and B are (7, -1) and (1, 2) respectively?
The co-ordinates of the centroid of a triangle ABC are (1, -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3, -4) and (0, 5) respectively?
What is the reflection of the point (2, -3.5) in the y-axis?
In which ratio the point (-3, p) divides the line segment joining the points (-5, -4) and (-2, 3)?
The area (in sq. units) of the triangle formed by the graphs of 8x + 3y = 24, 2x + 8 = y and the x-axis is:
In which quadrant both abscissa and ordinate are negative?
Find the slope of the line joining the points (3, -4) and (5, 2).
Find the value of K for which equation x – Ky = 2, 3x + 2y = 5 has unique solution.