Q4 of 53 Page 122

Find the ratio in which the line segment joining the points A(3,8) and B(-9, 3)is divided by the Y- axis.

A point P(x,y) divides the line formed by points (a,b) and (c,d) in the ratio of m:n, then the coordinates of the point P is given by


and


On y axis x coordinate = 0


Let the y axis divide AB is ratio 1:k


For x coordinate



Solving for k we get


K = 3


Hence the y axis divides the given point in the ratio 3:1


More from this chapter

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2

Determine whether the given points are collinear.

(1) A(0,2) , B(1,-0.5), C(2,-3)


(2) P(1, 2) , Q(2, 8/5) , R(3, 6/5)


(3) L(1,2) , M(5,3) , N(8,6)

 3

Find the coordinates of the midpoint of the line segment joining P(0,6)and Q(12,20).

 5

Find the point on X-axis which is equidistant from P(2,-5) and Q(-2,9).

 6

Find the distances between the following points.

(i) A(a, 0), B(0, a)


(ii) P(-6, -3), Q(-1, 9)


(iii) R(-3a, a), S(a, -2a)