Straight Lines · JEE Preparation Mathematics
Which equation represents the line passing through (3, -2) and perpendicular to the line 2x + 3y - 5 = 0?
Practice question from Straight Lines (JEE Preparation Mathematics), with the correct answer and a step-by-step solution.
medium · MCQ · Q-5AE9E6
Which equation represents the line passing through (3, -2) and perpendicular to the line 2x + 3y - 5 = 0?
- A.3x - 2y - 13 = 0Correct answer
- B.2x + 3y + 12 = 0
- C.3x + 2y - 5 = 0
- D.2x - 3y + 12 = 0
Solution
The given line has slope , so a perpendicular line has slope . Using the point-slope form, , which simplifies to .
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