TS EAMCET · Maths · Straight Lines
The image of the point \((4,-13)\) with respect to the line \(5 x+y+6=0\) is
- A \((-1,-14)\)
- B \((3,4)\)
- C \((1,2)\)
- D \((-4,13)\)
Answer & Solution
Correct Answer
(A) \((-1,-14)\)
Step-by-step Solution
Detailed explanation
Since, \(Q\) is the mid point of \(P P^{\prime}\), then \(Q=\left(\frac{x_1+4}{2}, \frac{y_1-13}{2}\right)\) Also \(Q\) lies on the \(A B\), then \(5\left(\frac{x_1+4}{2}\right)+\left(\frac{y_1-13}{2}\right)+6=0\) \(5 x_1+20+y_1-13+12=0\) \(5 x_1+y_1+19=0\) \(\ldots\) (i) Since,…
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