Question

2) 'M' is the midpoint segment AB AB=18 then
Find AN=...​

Answer 1

(a,b) is the mid-point of Line segment joining the points A(10,−6) and B(k,4)

So,

a=

2

10+k

and b=

2

−6+4

=−1

It is given that,

a−2b=18

Put b=−1

a−2(−1)=18

a=18−2=16

Now,

a=

2

10+k

16=

2

10+k

k+10=32

k=22

Distance between the points (x

1

,y

1

) and (x

2

,y

2

) is

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

Distance between the points (10,−6) and (22,4) is

(22−10)

2

+(4+6)

2

=

244

=2

61

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