List of top Mathematics Questions on Coordinate Geometry asked in KEAM

If the line \( 2x - 3y + c = 0 \) passes through the focus of the parabola \( x^2 = -8y \), then the value of \( c \) is equal to:

The three vertices of a triangle are \( (0,0), (3,1) \) and \( (1,3) \). If this triangle is inscribed in a circle, then the equation of the circle is:

The points \( (2, 5) \) and \( (5, 1) \) are the two opposite vertices of a rectangle. If the other two vertices are points on the straight line \( y = 2x + k \), then the value of \( k \) is:

The points \( (2, 5) \) and \( (5, 1) \) are the two opposite vertices of a rectangle. If the other two vertices are points on the straight line \( y = 2x + k \), then the value of \( k \) is:

The points \( (2, 5) \) and \( (5, 1) \) are the two opposite vertices of a rectangle. If the other two vertices are points on the straight line \( y = 2x + k \), then the value of \( k \) is: