List of top Mathematics Questions on Coordinate Geometry asked in KEAM

If the points \( A(3,4) \), \( B(x_1,y_1) \) and \( C(x_2,y_2) \) are such that both \( 3,x_1,x_2 \) and \( 4,y_1,y_2 \) are in A.P., then

If coordinates of the circumcentre and the orthocentre of a triangle are respectively \( (5,5) \) and \( (2,2) \), then the coordinates of the centroid are:

Let \( A(0,0) \) and \( B(8,0) \) be two vertices of a right angled triangle whose hypotenuse is \( BC \). If the circumcentre is \( (4,2) \), then the point \( C \) is: