AP EAMCET · Maths · Straight Lines
If the image of the point \((3,8)\) in the line \(x+3 y=7\) is \((\alpha, \beta)\), then \(\alpha+\beta=\)
- A -1
- B 3
- C -5
- D -9
Answer & Solution
Correct Answer
(C) -5
Step-by-step Solution
Detailed explanation
Let line \(\mathrm{AB}\) be \(\mathrm{x}+3 \mathrm{y}=7\) and point \(\mathrm{P}\) be \((3,8)\). Let \(\mathrm{Q}\) (h, k) be the image of point \(P(3,8)\) in the line \(x+3 y=7\). Since line \(\mathrm{AB}\) is a mirror. (1) Point \(\mathrm{P} \& \mathrm{Q}\) are at equal…
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