List of top Mathematics Questions on Coordinate Geometry asked in JEECUP

A point P divides the line segment joining A(2, 3) and B(8, 9) in the ratio 1:2. What are the coordinates of P?
If points \((1, 2), (x, -1), (4, 5)\) are collinear, then the value of \(x\) is
Distance between two points \((a \cos \alpha, a \sin \alpha)\) and \((a \cos \beta, a \sin \beta)\) is equal to
Distance between two lines \(3x + 4y - 9 = 0\) and \(3x + 4y + 10 = 0\) is