List of top Mathematics Questions on Coordinate Geometry asked in Karnataka PGCET

Consider the triangle with vertices $(0, 0)$, $(5, 0)$ and $(2, 3)$. If scaling of 3 units is applied along both x-axis and y-axis, the new coordinates are:

The reflection of the point $(4, -13)$ about the line $5x + y + 6 = 0$ is:

The centre of the circle $(x + 5)^2 + (y - 3)^2 = 36$ is:

The point of intersection of the lines $3x + 2y = 6$ and $3x - 2y = -2$ is:

The midpoint of the line joining the points $(2, 4)$ and $(6, -2)$ is:

The equation of the line passing through the points $(1, 2)$ and $(-1, 4)$ is:

The circumference of the circle \(x^2 + y^2 - 18x - 16y + 120 = 0\) is:

If the angle between two lines is \(\frac\pi4\) and slope of one of the lines is \(\frac12\), then the slope of the other line is:

If the equation of a circle is $(4a - 3)^2 x^2 + a^2 y^2 + 6x - 2y + 2 = 0$, then its centre is: