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AP EAMCET · Maths · Straight Lines

If \((\alpha, \beta)\) is the image of the point \((3,-4)\) with respect to the line \(4 x-y-1=0\), then the value of \(\beta-\alpha\) is equal to

  1. A \(\frac{-31}{17}\)
  2. B \(\frac{-107}{17}\)
  3. C \(\frac{31}{17}\)
  4. D \(\frac{13}{71}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{31}{17}\)

Step-by-step Solution

Detailed explanation

Let the image be \(P(\alpha, \beta)\) of \((3,-4)\) with respect to line \(4 x-y-1=0\). Thus,…