If (a,b) is mid point of line segment joining the points A(10,-6), B(k,4) and a-2b =16,then find the value of k and the distance AB.
Answers
Answered by
300
i hope this will usful to u
Attachments:
Answered by
316
Given,
(a,b) is the midpoint of the a(10,-6) and b(k,4).
a-2b=16.
we know that,
Midpoint = (x1+x2/2), (y1+y2/2)
(a,b)=(10+k/2),(-6+4/2)
(a,b)=(10+k/2),(-2/2)
(a,b)=(10+k/2),(-1)
by comparing on both sides
a=10+k/2 , b=-1
we know that,
a-2b=16
=> 10+k/2 -2(-1)=16
=> 10+k/2+2=16
=>10+k/2=14
=>10+k=28
=>k=18
(a,b) is the midpoint of the a(10,-6) and b(k,4).
a-2b=16.
we know that,
Midpoint = (x1+x2/2), (y1+y2/2)
(a,b)=(10+k/2),(-6+4/2)
(a,b)=(10+k/2),(-2/2)
(a,b)=(10+k/2),(-1)
by comparing on both sides
a=10+k/2 , b=-1
we know that,
a-2b=16
=> 10+k/2 -2(-1)=16
=> 10+k/2+2=16
=>10+k/2=14
=>10+k=28
=>k=18
Similar questions