If the straight line, 2x−3y+17=0 is perpendicular to the line passing through the points (7,17) and (15,β), then β=

# If the straight line, $2\mathrm{x}-3\mathrm{y}+17=0$ is perpendicular to the line passing through the points (7,17) and (15,$\mathrm{\beta }$), then $\mathrm{\beta }$=

1. A

-5

2. B

-35/3

3. C

35/3

4. D

5

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### Solution:

Slope of
Slope of line joining
The lines are perpendicular $⇒\left(\frac{2}{3}\right)\left(\frac{\mathrm{\beta }-17}{8}\right)=-1⇒\mathrm{\beta }-17=-12⇒\mathrm{\beta }=5$

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