Question

If the line segment joining (2, 3) and (-1, 2)
is divided internally in the ratio 3:4 by the
line x + 2y = k then k is A. 41÷7 B.5÷7 C. 36÷7. D.31÷7

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Answer 1

Answer:

The answer is A) 41÷7

Step-by-step explanation:

We are given 2 points

(2,3) and (-1,2)

The ratio by which the line is divided is 3:4

Using section formula

x=[mx2+nx1/m+n]

x=5/7

similarly using section formula

y=18/7

Substitute x and y in the equation x+2y=k

we get k=41÷7

THEREFORE k IS 41÷7

For better understanding refer the picture

Hope it helps