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Q83 / 160 · AP EAMCET 2025 (23 MAY SHIFT 1) · Mathematics

Q20 / 516 · AP EAMCET 2025 (23 MAY SHIFT 1) · Mathematics · Straight Lines · Point and Line

If the perpendicular distances from the points $(2,3),(4, a)$ and $(\alpha, \beta)$ on to the line $3 x+4 y-3=0$ are equal and $4 \alpha-3 \beta+1=0$ then sum of all possible values of $a, \alpha$ and $\beta$ is

  • Correct answer
    A
    $\frac{-79}{10}$
  • B
    $\frac{83}{15}$
  • C
    $\frac{-73}{5}$
  • D
    $\frac{28}{15}$

Hence, the correct answer is option: 'A'.

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