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5. Co-ordinate Geometry
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Q10 of 53 Page 122

Show that the line joining the points A(4, 8) and B(5, 5) is parallel to the linejoining the points C(2,4) and D(1,7).

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



Slope of AB =


Slope of AC =


As slopes are equal, the two lines are parallel.


More from this chapter

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8

In the following examples, can the segment joining the given points form atriangle? If triangle is formed, state the type of the triangle considering sides ofthe triangle.

(1) L(6,4), M(-5,-3) , N(-6,8)


(2) P(-2,-6), Q(-4,-2), R(-5,0)


(3)

9

Find k if the line passing through points P(-12,-3) and Q(4, k)has slope .

11

Show that points P(1,-2), Q(5,2), R(3,-1), S(-1,-5) are the vertices of aparallelogram.

12

Show that the □PQRS formed by P(2,1), Q(-1,3), R(-5,-3) and S(-2,-5) is a rectangle.

Questions · 53
5. Co-ordinate Geometry
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