List of top Mathematics Questions on Coordinate Geometry asked in KEAM

If the lines 2x-3y+5=0, 9x-5y+14=0 and 3x-7y+λ=0 are concurrent, then the value of λ is equal to
Let A(-1, 2), B(1, 3) and C(a, b) be collinear. If B divides AC such that BC=8AB, then the coordinates of C are
The intercepts of a line with coordinate axes are equal. If the line passes through (2, 3), then its equation is
The area of the region bounded by y = 5x, x-axis and x = 4 is (in square units)
The acute angle between the planes 2x-y-3z=7and x+2y+2z=0 is
The equation of the plane through the point (2, 1, 3) and perpendicular to the vector \(4\hat{i}+5\hat{j}+6\hat{k}\) is
The equation of the parabola with vertex (-6,2), passing through (-3, 5) and having axis parallel to x-axis is
The two diameters of a circle are segments of the straight lines x - y = 5 and 2x + y = 4. If the radius of the circle is 5, then the equation of the circle is
The end-points of a diameter of a circle are (-1, 4) and (5, 4). Then the equation of the circle is
The equation of the circle is 3x2+3y2+6x-4y-1=0. Then its radius is
The equation of perpendicular bisector of the line segment joining the points (10, 0) and (0,-4) is
If ay=x+b is the equation of the line passing through the points (-5,-2) and (4, 7), then the value of 2a + b is equal to
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: