If the straight line, is perpendicular to the line passing through the points and , then equals
- A.
- B.
- C.
- D.
Show answer and solution
Correct option: D
Solution
The slope of 2x - 3y + 17 = 0 is 2/3. A perpendicular line has slope -3/2.
Slope of line through (7,17) and (15,β) = (β - 17)/(15 - 7) = (β - 17)/8.
Setting equal to -3/2: (β - 17)/8 = -3/2 → β - 17 = -12 → β = 5.
Slope of line through (7,17) and (15,β) = (β - 17)/(15 - 7) = (β - 17)/8.
Setting equal to -3/2: (β - 17)/8 = -3/2 → β - 17 = -12 → β = 5.
[JEE Main 2019 · 12 Jan · Shift I]