Q15 of 53 Page 122

Show that A(4, -1), B(6, 0), C(7, -2) and D(5, -3)are vertices of a square.

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


Slope of a line between two points (a,b) and (c,d) is



Note: If the Product of slopes of two lines = -1 then they are perpendicular to each other.


AB = =


BC = =


CD = =


AD = =


Slope AB =


Slope BC =


Slope CD =


Slope AD =


As all sides are equal and ajdacent sides are perndicular. Given points form a square.


More from this chapter

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13

Find the lengths of the medians of a triangle whose vertices are A(-1,1), B(5, -3) and C(3, 5).

 14

Find the coordinates of centroid of the triangles if points D(-7,6),E(8,5) andF(2, -2) are the mid points of the sides of that triangle.

 16

Find the coordinates of circumcentre and radius of circumcircle of triangle ABC ifA(7, 1), B(3, 5) and C(2, 0) are given.

 17

Given A(4,-3), B(8,5). Find the coordinates of the point that divides segmentAB in the ratio 3 : 1.