Hello friends!
Maths question!
If P(9a-2,-b) divides the line segment joining A(3a+1,-3) and B(8a,5) in the ratio 3:1,find the values of a and b.
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Answered by
8
Answer:
given,
P(9a-2,-b)=(x,y)
A(3a+1,-3)=(x1,y1)
B(8a+5)=(x2,y2)
ratio(m1,m2)=3:1
now,
x=m1*x2+m2*x1/m1+m2
x=3*8a+1*(3a+1)/3+1
x=24a+3a+1/4
x=27a+1/4
9a-2=27a+1/4
36a-8=27a+1
9a=9
a=1
Now,
y=m1*y2+m2*y1/m1+m2
-b=3*5+1*-3/4
-b=15-3/4
-4b=12
b=-3
therefore
the value of a is1
value of b is -3
hope it helps yrr
Answered by
5
Answer:
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