MHT CET 2023 Mathematics question
The distance of a point (2, 5) from the line 3x + y + 4 = 0 measured along the lines and are same. If slope of line is , then slope of the line is
Answer: (D)
Solution
The distance from to the given line measured along a line making angle with it is , where is the perpendicular distance. Equal distances along and therefore need equal , so is the mirror image of in the given line (equivalently in its normal).
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