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Suppose the line, L(1) has equation 10x-...

Suppose the line, `L_(1)` has equation `10x-12y=-17." The line "L_(2)"intersect "L_(1)" at "((1)/(2),(11)/(6))`
and is perpendicular to `L_(1).` Find the abscissa of the point on `L_(2)` whose ordinate is `(1)/(30).

Text Solution

Verified by Experts

Equation of `L_(2)," "y-(11)/(6)=(-6)/(5)(x-(1)/(2))`
if `y=(1)/(30)," "(1)/(30)-(11)/(6)=(-6x)/(5)+(3)/(5)`
`(1)/(6)-(55)/(6)-3=-6x`
`6x=3+(54)/(6)=12`
`x=2`
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