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Question

If the straight line, 2x3y+17=0 is perpendicular to the line passing through the points (7,17) and (15,β) then β equals:

A
5
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B
353
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C
5
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D
353
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Solution

The correct option is C 5
Slope of straight line. 2x3y+17=0 is m1=23
Let slope of line passing through (7,17) and (15,β) be m2.
m2=β17157
Since, both the lines are perpendicular
So, m1.m2=1
23.β178=1
β17=12
β=5

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