List of top Mathematics Questions on Coordinate Geometry asked in AP EAPCET

When the origin is shifted to $(2, 3)$ by translation of axes, the coordinates of a point $P$ become $(1, -2)$. The original coordinates of $P$ are:

If the angle between the pair of lines $x^2 - 2cxy - 7y^2 = 0$ is $\frac{\pi}{3}$, then the value of $c^2$ is:

If a line \(AB\) of length \(r\) moves such that \(A\) and \(B\) always lie respectively on the \(x\)-axis and the line \[ y=6x, \] then the locus of the midpoint of \(AB\) is

All points inside the triangle with vertices at \((1,3)\), \((5,0)\) and \((-1,2)\) must necessarily satisfy: