Q1 of 53 Page 107

Find the distance between each of the following pairs of points.

(1) A(2, 3), B(4, 1)


(2) P(-5, 7), Q(-1, 3)


(3) R(0, -3), S(0, 5/2)


(4) L(5, -8), M(-7, -3)


(5) T(-3, 6), R(9, -10)


(6) , X(11, 4)

According to the distance formula, the distance 'd' between two points (a,b) and (c,d) is given by
 .....(1)


1. (a,b) = (2,3)


(c,d) = (4,1)


Putting values in the above eq 1


d =


⇒ d =


⇒ d =


2. (a,b) = (-5,7)


(c,d) = (-1,3)


D =


D =


3. (a,b) = (0.-3)


(c,d) = ()


D =


D =


D =


4. (a,b) = (5,-8)


(c,d) = (-7,-3)


D =


D =


D = = 13


5. (a,b) = (-3,6)


(c,d) = (9,-10)


D =


D =


D = 20


6. (a,b) = ()


(c,d) = (11,4)


D =


D =


D =


More from this chapter

All 53 →
2

Determine whether the points are collinear.

(1) A(1, -3), B(2, -5), C(-4, 7)


(2) L(-2, 3), M(1, -3), N(5, 4)


(3) R(0, 3), D(2, 1), S(3, -1)


(4) P(-2, 3), Q(1, 2), R(4, 1)

 3

Find the point on the X-axis which is equidistant from A(-3, 4) and B(1, -4).

 4

Verify that points P(-2, 2), Q(2, 2) and R(2, 7) are vertices of a right angled triangle.

 5

Show that points P(2, -2), Q(7, 3), R(11, -1) and S (6, -6) are vertices of a parallelogram.