Question:
If the intercept of a line \(L\) made between the straight lines \(5x - y - 4 = 0\) and \(3x + 4y - 4 = 0\) is bisected at the point (1, 5), then the equation of \(L\) is
If the intercept of a line \(L\) made between the straight lines \(5x - y - 4 = 0\) and \(3x + 4y - 4 = 0\) is bisected at the point (1, 5), then the equation of \(L\) is
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Use midpoint condition with line intersections to derive the required equation of line.
Updated On: Jun 4, 2025
- \(35x - 83y + 92 = 0\)
- \(83x + 35y - 72 = 0\)
- \(63x - 35y + 82 = 0\)
- \(83x - 35y + 92 = 0\)
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The Correct Option is D
Solution and Explanation
Find points of intersection of the line \(L\) with the given lines. Use midpoint formula and impose that the midpoint is (1, 5). Apply section formula or substitution to find the equation.
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