Coordinate Geometry Quiz 1

The point on the x-axis which is equidistant from (-4, 0) and (10, 0) is:

The distance between the points (m, -n) and (-m, n) is:

The point which divides the line segment joining the points (7, -6) and (3, 4) in the ratio 1:2 internally, lies in the:

The distance between the points $(a\,cos\,\theta+b\,sin\,\theta,0)\;and\;(0,a\,sin\,\theta-b\,cos\,\theta),$ is:

The point which lies on the perpendicular bisector of the line segment joining points A(-2, -5) and B(2, 5) is:

If the point P(k, 0) divides the line segment joining the points A(2, -2) and B(-7, 4) in the ratio 1:2, then the value of k is:

The distance of the point P(-3, -4) from the x-axis (in units) is:

If A($\frac m3,$ 5) is the mid-point of the line segment joining the points Q(-6, 7) and R(-2, 3), then the value of m is:

Point on y-axis has coordinate

The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is

The ratio in which x-axis divides the line segment joining A(2, -3) and B(5, 6) is

If the point C(x, 3) divides the line joining points A(2, 5) and B(5, 2) in the ratio 2 : 1 then the value of x is

The mid-point of the line segment joining the points (-5, 7) and (-1, 3) is

The distance of the point P(3, 4) from the origin is

The distance between the lines 2x+4 = 0 and x - 5 = 0, is