AP EAMCET · Maths · Straight Lines
If \((h, k)\) is the image of the point \((2,-3)\) with respect to the line \(5 x-3 y=2\), then \(\mathrm{h}+\mathrm{k}=\)
- A \(-3\)
- B \(-\frac{3}{34}\)
- C \(-\frac{1}{34}\)
- D \(5\)
Answer & Solution
Correct Answer
(A) \(-3\)
Step-by-step Solution
Detailed explanation
\( \frac{h - 2}{5} = \frac{k - (-3)}{-3} = -2 \frac{5(2) + (-3)(-3) - 2}{5^2 + (-3)^2} \) \( \frac{h - 2}{5} = \frac{k + 3}{-3} = -2 \frac{17}{34} = -1 \) \( h = -5 + 2 = -3 \) \( k = 3 - 3 = 0 \) \( h + k = -3 + 0 = -3 \)
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