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Question: The straight line joining the points, (1, 2) and (–2, 1) is divided by the line 3x + 4y = 7 in the r...

The straight line joining the points, (1, 2) and (–2, 1) is divided by the line 3x + 4y = 7 in the ratio-

A

3 : 4

B

4 : 3

C

9 : 4

D

4 : 9

Answer

4 : 9

Explanation

Solution

Ratio = – [3(1)+4(2)−73(−2)+4(1)−7]\left\lbrack \frac{3(1) + 4(2) - 7}{3( - 2) + 4(1) - 7} \right\rbrack = −4−9\frac{- 4}{- 9}

4 : 9