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Question

The point of intersection of the line joining the points (2, 4, 5) and (4, 3, 2) and the xy plane is



Solution

The correct option is B


Given points are A(2,4,5) and B(4,3,2). Let  xy plane divide the

line joining the points in the ratio of k:1

For x-y plane,  z-coordinate must be zero

k(2)+1(5)k+1=0

2k+5=0

2k=5

k=52

So,xy plane divides the joining the points (2,4,5) and (-4,3,-2) in the ratio of 5:2

X-coordinate =5(4)+2(2)5+2

 20+47=167

Y-coordinate y=5(3)+2(4)5+2

=15+87 = 237

Intersection of the line joining the points (2,4,5) and (-4,3,-2) and the xy plane is

(167,237,0)

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