1.

1.A (2,3), B(x,y) and if C(3,4) divides AB in the ratio 1:5 internally then B =A) (8,9)B) (8,-9) C)(-8,9)D) (-8, -9)

Answer»

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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