Question

The line 6x + y - 12 = 0 divides the line joining the points (1, 3) and (2, 7) Internally in ratio (a). 2,3 (b).4,5 (c) 3 ,7 (d).7,3​

Answer 1

Answer:

$\huge \mathfrak \red{Answer↘}$

Let the line divides the points in k:1 ratio according to section formula

(2k+1/k+1, 7k+3/k+1) = (x, y)

It must satisfy the given equation so

3(2k+1/k+1) + (7k+3/k+1) = 9

6k+3+7k+3/k+1 = 9

13k+6=9k+9

13k-9k=9-6

4k=3

k=3/4

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