AP EAMCET · Maths · Straight Lines
If the image of \(\left(\frac{-7}{5}, \frac{-6}{5}\right)\) in a line is \((1,2)\), then the equation of the line is
- A \(4 x+3 y=1\)
- B \(3 x-y=0\)
- C \(4 x-y=0\)
- D \(3 x+4 y=1\)
Answer & Solution
Correct Answer
(D) \(3 x+4 y=1\)
Step-by-step Solution
Detailed explanation
The coordinate of mid-point of \(P Q\) is \[ M\left(\frac{-\frac{7}{5}+1}{2}, \frac{-\frac{6}{5}+2}{2}\right) \text { i.e., } \quad\left(-\frac{1}{5}, \frac{2}{5}\right) \] Now, slope of \(P Q\) is \[ m=\frac{2+\frac{6}{5}}{1+\frac{7}{5}}=\frac{16}{12}=\frac{4}{3} \] Since, the…
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