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The line L given by x/5+y/b=1 passes thr...

The line L given by `x/5+y/b=1` passes through the point (13, 32). The line K is parallel to L and has the equation `x/c+y/3=1` Then the distance between L and K is (1) `sqrt(17)` (2) `(17)/(sqrt(15))` (3) `(23)/(sqrt(17))` (4) `(23)/(sqrt(15))`

Text Solution

Verified by Experts

`K || L`
`L: x/5 + y/b = 1`
`L(13,32) = 13/5 + 32/b = 1`
`32/b = 1- 13/5`
`32/b = -8/5`
`b= -32 xx5/8 = -20`
`x/5 - y/20 = 1`
`y = 20 x/5 -20 =4x - 20`
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