MIDPOINT AND DISTANCE IN THE COORDINATE PLANE WORKSHEET

Problem 1 :

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

(A) (0, 0)    (B) (0, 2)    (C) (2, 0)    (D) (-2, 0)

Solution

Problem 2 :

The fourth vertex D of a parallelogram ABCD whose three vertices are A(-2, 3), B(6, 7) and C(8, 3) is

(A) (0, 1)    (B) (0, -1)    (C) (-1, 0)    (D) (1, 0)

Solution

Problem 3 :

If P(a/3, 4) is the midpoint of the line segment joining the points Q(-6, 5) and R(-2, 3), then the value of a is

(A) -4     (B) -12     (C) 12     (D) -6

Solution

Problem 4 :

The perpendicular bisector of the line segment joining the points A(1, 5) and B(4, 6) cuts the y-axis at

(A) (0, 13)  (B) (0, -13)  (C) (0, 12)  (D) (13, 0)

Solution

Problem 5 :

The coordinates of the point which is equidistant from the three vertices of the Δ AOB.

(A) (x, y)   (B) (y, x)   (C) x/2, y/2   (D) y/2, x/2

Solution

Problem 6 :

A circle drawn with origin as the center passes through (13/2, 0). The point which does not lie in the interior of the circle is

(A) (-3/4, 1)     (B) (2, 7/3)

(C) (5, -1/2)     (D) (-6, 5/2)

Solution

Problem 7 :

A line intersects the y-axis and x-axis at the points P and Q, respectively. If (2, -5) is the mid-point of PQ, then the coordinates of P and Q are respectively 

(A) (0, -5) and (2, 0)    (B) (0, 10) and (-4, 0)

(C) (0, 4) and (-10, 0)   (D) (0, -10) and (4, 0)

Solution

Problem 8 :

If the distance between the points (4, p) and (1, 0) is 5, then the value of p is

(A) 4 only     (B) ± 4     (C) -4 only     (D) 0

Solution