Question:
If \( (-4, 5) \) is one vertex and \( 7x - y + 8 = 0 \) is one diagonal of a square, then the equation of second diagonal is:
If \( (-4, 5) \) is one vertex and \( 7x - y + 8 = 0 \) is one diagonal of a square, then the equation of second diagonal is:
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The diagonals of a square are perpendicular and bisect each other. This helps in finding the equation of the second diagonal.
Updated On: Jan 14, 2026
- \( x + 3y = 21 \)
- \( 2x - 3y = 7 \)
- \( x + 7y = 31 \)
- \( 2x + 3y = 21 \)
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The Correct Option is C
Solution and Explanation
The diagonals of a square are perpendicular and bisect each other. Using the point \( (-4, 5) \) and the given diagonal equation, we can derive the equation of the second diagonal by using the condition for perpendicularity.
Step 2: Conclusion.
Thus, the correct answer is \( x + 7y = 31 \).
Step 2: Conclusion.
Thus, the correct answer is \( x + 7y = 31 \).
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