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`        Que. Find the equation of the straight line that passes through the point A(-5,-4)and is such that the portion intercepted between the axes is divided by the point A in the ratio 1:2??`
2 years ago

```							Dear Aayushi  Let the required straight line be (x/a) + (y/b) = 1.  Using the given conditions, P (2a+1.0/2+1, 2.0+1.b/2+1) is the point which divides (a, 0) and (0, b) internally in the ratio 1 : 2.But the point P is (–5/4)Hence –5 = 2a/3, 4 = b/3 ⇒ a = –15/2, b = 12.Hence the required equation is x/(–15/2) + y/2 ⇒ tan θ = –√8 = slope of line.We know that the equation of the straight line passing through the point (x1, y1) having slope m is y – y1 = m(x – x1).Therefore the equation of the required line is y – 2 = –√8 (x – 1)⇒ √8 x + y – √8 – 2 = 0. RegardsArun (askIITians forum expert)
```
2 years ago
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