A(2,3),B(x,y)and if C(3,4) divides AB in the ratio 1:5 internally the point B is
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Answer: The point B is (8,9).
Step-by-step explanation:
Section formula for internal division is given by:
x-coordinate of section formula
a=(m*x2 + n*x1)/(m+n)
y-coordinate of section formula
b=(m*y1 + n*y*2)/(m+n)
where the point (a,b) divides the line segment in m:n ratio.
Here C(3,4) divides AB in the ratio 1:5. So,
a=3, b=4, m=1, n=5, x1=2, y1=3, x2=x, and y2=y
Plugging all the values into the section formula
x-coordinate of section formula
3= (2*5+x*1)/(1+5)
3= (10+x)/6
x= 8
y- coordinate of section formula
4= (3*5+y*1)/(1+5)
4= (15+y)/6
y= 9
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hope it helps.....
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