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The line through (h ,3)a n d\ (4,1) inte...

The line through `(h ,3)a n d\ (4,1)` intersects the line k `7x-9y-19=0` at right angle. Find the value of `hdot`

Text Solution

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The slope of the line passing through points `h,3)` and` (4,1) `is :
`m_1​=(1−3)/(4−h)​=(-2)/(4−h)​`
The slope of the line `7x−9y−19=0 is m_2​=(7/9)​`
Given that two lines are perpendicular.
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Knowledge Check

  • If the line through the points (h, 7) and (2, 3) intersects the line 3x-4y-5=0 at right angles, then the value of h is

    A
    `-1`
    B
    1
    C
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    D
    `-5`

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