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WBJEE · Maths · Straight Lines

The point \((-4,5)\) is the vertex of a square and one of its diagonals is \(7 x-y+8=0\). The equation of the other diagonal is

  1. A \(7 x-y+23=0\)
  2. B \(7 y+x=30\)
  3. C \(7 y+x=31\)
  4. D \(\quad x-7 y=30\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(7 y+x=31\)

Step-by-step Solution

Detailed explanation

\[ \begin{aligned} \text { Hints } & : x+7 y=k \\ & -4+35=k \\ & 31=k \\ & x+7 y-31=0 \end{aligned} \]