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Q.

The locus of a point which is collinear with the points $(3, 4)$ and $(- 4, 3)$ is

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a

3 x + 2 y + 12 = 0

b

2 x + 3 y + 12 = 0

c

2 x + 3 y - 12 = 0

d

x - 7 y + 25 = 0

answer is D.

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Detailed Solution

$A, P, B$ are collinear

$\Rightarrow$ Question Image

Slope of $A P =$ slope of $A B$

$\frac{y - 4}{x - 3} = \frac{- 1}{- 7}$

$7 y - 28 = x - 3$

$\Rightarrow x - 7 y - 3 + 28 = 0$

$\Rightarrow x - 7 y + 25 = 0$

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