Which of the following best describes the relation between the lines 6x + 10y - 19 = 0 & 5x - 3y + 17 = 0?
Explanation:
Slope of a line ax + by + c = 0 is -a/b.
∴ Slope of the line 6x + 10y – 19 = 0 is -6/10 i.e., -3/5
∴ Slope of the line 5x - 3y + 17 = 0 is –5/-3 i.e., 5/3
Here we see that the product of the slopes of two lines is -1 (-3/5 × 5/3), hence the two given lines are perpendicular to each other.
Hence, option (c).
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