Question

Find the ratio in which the points p(9, 7) divides line segment ab given A(-5, 6) and B(4, 10) and find value of a also

Answer 1

Answer:

Partitioning a line segment, AB, into a ratio a/b involves dividing the line segment into a + b equal parts and finding a point that is a equal parts from A and b equal parts from B. When finding a point, P, to partition a line segment, AB, into the ratio a/b, we first find a ratio c = a / (a + b).

Answer 2

Answer:

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Step-by-step explanation:

Using section formula:

a=(m*4+n*(-5) )/(m+n)......eqn 1.

7=(m*10+n*6)/(m+n)......eqn 2.

solving 2:

7m+7n=10m+6n

3m=n

m/n=1/3.

Ratio=1/3.

eqn 1:

a=(4m-5n)/(m+n)

use n=3m here.

a=(4m-5(3m))/(m+3m)

a=-11/4.

done.

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