AP EAMCET · Maths · Straight Lines
The ratio in which the line joining points \(A(-1,-1)\) and \(B(2,1)\) divides the line joining \(C(3,4)\) and \(D(1,2)\)
- A \(7: 5\) internally
- B \(7: 5\) externally
- C \(7: 11\) internally
- D \(7: 11\) externally
Answer & Solution
Correct Answer
(B) \(7: 5\) externally
Step-by-step Solution
Detailed explanation
\(A(-1,-1), B(2,1)\) and \(C(3,4), D(1,2)\) Then equation of line \(A B\) \[ \begin{aligned} y-y_1 & =\frac{y_2-y_1}{x_2-x_1}\left(x-x_1\right) \\ \Rightarrow \quad y+1 & =\frac{1+1}{2+1}(x+1) \\ \text { or } \quad 3 y+3 & =2 x+2 \text { or } 2 x-3 y-1=0 \end{aligned} \] Let the…
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