Question

x axis divied the join of p (-4, 2) and (8 , 3) in the ratio of ???

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Answer 1

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In what ratio does X - axis...

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Asked on December 27, 2019 by

Shivu Vegunta

In what ratio does X-axis divide the line segment joining the points P(4,8) and Q(5,−9)?

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ANSWER

Let the required ratio be k:1.

Co-ordinates of points of division are given by

⇒

m

1

+m

2

m

1

x

2

+m

2

x

2

,

m

1

+m

2

m

1

y

2

+m

2

y

1

Here, m

1

=k and m

2

=1

If point lies on x-axis, then it will be in the form (x,0)

x=

k+1

k(8)+1(4)

and 0=

k+1

k(−9)+1(8)

−9k+8=0,k=

−9

−8

,k=

9

8

∴ Required ratio k:1 is

9

8

:1 or 8:9.

Answer 2

Let the y-axis cut AB at P(0, y) in the ratio k: 1. Then,

P(8k−4k+1,3k+2k+1)=P(0,y)⇒8k−4k+1=0

⇒8k−4=0⇒k=12.

∴required ratio=(12:1)=1:2

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