If the lines given by 3x+2ky =2 and 2x+5...

If the lines given by `3x+2ky =2` and `2x+5y =1` are parallel, then the value of k is

`-(5)/(4)`

`(2)/(5)`

`(15)/(4)`

`(3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:

Condition for parallel lines is
`" " (a_(1))/(a_(2)) = (b_(1))/(b_(2)) !=(c_(1))/(c_(2))`
Given lines, `" " 3x+2ky-2 = 0`
and `" " 2x + 5y - 1 = 0`
Here, `" " a_(1) = 3, b_(1) = 2k, c_(1) = -2`
and `" " a_(2) = 2, b_(2) = 5, c_(2) = -1`
From Eq. (i) , `" " (3)/(2) =(2k)/(5)`
`:. " " k = (15)/(4)`

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If the lines given by 3x+ 2ky =2 and 2x+ 5y+1= 0 are parallel, then the value of k is

`(-5)/(4)`

`(2)/(5)`

`(15)/(4)`

`(3)/(2)`

If the straight lines 2x+ 3y -3=0 and x+ky +7 =0 are perpendicular, then the value of k is

`3/2`

`(-3)/(2)`

`2/3`

`(-2)/(3)`

Find the value of k, if the lines given by 4x + 5ky = 10 and 3x + y + 1 = 0 are parallel.

`3/8`

`4/15`

`-1`