Question

5. If A = (-4, 3) & B = (8,-6)
i. Find the length of AB.
ii. In what ratio in the line segment joining AB, divided by the x - axis?​

Answer 1

Answer:

what are you asking me you no

Answer 2

Answer:

(i) Given points are A(−4,3) and B(8,−6).

Here x

1

=−4,y

1

=3

x

2

=8,y

2

=−6

By distance formula, d(AB)=

[(x

2

−x

1

)

2

+(y

2

−y

1

)

2

]

∴d(AB)=

[(8−(−4))

2

+(−6−3)

2

]

∴d(AB)=

[(12)

2

+(−9)

2

]

∴d(AB)=

(144+81)

∴d(AB)=

225

∴d(AB)=15

Hence the length of AB is 15 units.

(ii)Let m:n be the ratio in which the line AB is divided by the X axis.

Since the line meets X axis, its y co-ordinate is zero.

∴ By Section formula y=(my

2

+ny

1

)/(m+n)

∴0=(m×−6+n×3)/(m+n)

∴0=(−6m+3n)/m+n

∴−6m+3n=0

∴−6m=−3n

∴m/n=−3/−6=3/6=1/2

Hence the ratio is 1:2.