If the point M (3/4,5/12) divides the line segment joining points A( 1/2,3/2)and B (2,-5) in the
ratio a : b (where a and b are co-prime), then find the value of a + b.
step by step explanation pls..
Answers
Answer:
We know that the section formula
_____________________________________________
The point which divide the line segment
joining the points A ( x1 , y1 ) , B ( x2 , y2 ) in the ratio k:1
is P ( kx2+ x1/k +1 , ky2 + y1 / k+ 1 )
______________________________________________
According to the given problem ,
A( x1 , y1 ) = ( 1/2 , 3 /2 )
B ( x2 , y2 ) = ( 2 , -5 )
P ( x , y ) = ( 3 / 4 , 5 / 12 )
Let the ratio = k : 1
x = 3/4 ( given
(kx2 + x1 ) / ( k+ 1 ) = x
( k× 2 + 1/2 ) / ( k + 1 ) = 3 / 4
2k + 1/2 = 3 /4 ( k + 1 )
4 ( 2k + 1 / 2) = 3 ( k + 1 )
8k + 2 = 3k + 3
8k - 3 k = 3 - 2
5k = 1
k = 1/5
Therefore ,
Required ratio = k : 1
= 1 /5 : 1
= 1 : 5
P divides the line segment joining the points A and B
in the ratio 1 : 5
So the value of a+b is
1+5=6
Hope this helps u :)
Thx 4 marking as brainliest
Answer: please dont mark me as brainlilest i just answerd to get points
Hi ,
We know that the section formula
_____________________________________________
The point which divide the line segment
joining the points A ( x1 , y1 ) , B ( x2 , y2 ) in the ratio k:1
is P ( kx2+ x1/k +1 , ky2 + y1 / k+ 1 )
______________________________________________
According to the given problem ,
A( x1 , y1 ) = ( 1/2 , 3 /2 )
B ( x2 , y2 ) = ( 2 , -5 )
P ( x , y ) = ( 3 / 4 , 5 / 12 )
Let the ratio = k : 1
x = 3/4 ( given
(kx2 + x1 ) / ( k+ 1 ) = x
( k× 2 + 1/2 ) / ( k + 1 ) = 3 / 4
2k + 1/2 = 3 /4 ( k + 1 )
4 ( 2k + 1 / 2) = 3 ( k + 1 )
8k + 2 = 3k + 3
8k - 3 k = 3 - 2
5k = 1
k = 1/5
Therefore ,
Required ratio = k : 1
= 1 /5 : 1
= 1 : 5
P divides the line segment joining the piints A and B
in the ratio 1 : 5
I hope this helps you.
Actually i copied this answer pls dont mark me as brainlilest
Step-by-step explanation: