What are the coordinates of the reflection of the point (-3, 1) about the line x = -2?
(-1, 1)
Reflection of \((x_1, y_1)\) about the vertical line \(x = c\) is \((2c - x_1,\ y_1)\). The y-coordinate is unchanged.
With \((x_1, y_1) = (-3, 1)\) and \(c = -2\):
\[x' = 2(-2) - (-3) = -4 + 3 = -1\]
So the reflection is (-1, 1).
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Important Questions from Co-ordinate Geometry
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.
