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Classify the following pairs of lines as...

Classify the following pairs of lines as coincident, parallel, perpendicular or intersecting :
`(i) 6x+14y-16=0`, `12x+28y-32=0`
`(ii) 3x-4y=8`, `3x+4y=11`
`(iii) 5x-2y=7`, `2y-5x=-7`
`(iv) 4x+7y=19`, `7x-4y=-2`
`(v) x-2y=7`, `4y-2x=13`

Text Solution

Verified by Experts

The correct Answer is:
`(i)` Coincident `(ii)` Intersecting
`(iii) Coincident `(iv)` Perpendicular
`(v) ` Parallel
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Knowledge Check

  • Consider the following sets of equations and determine whether they have (i) 2x-3y+6z=4,5x+7y-14z=1,3+2y-4z=0 (ii) 2x-y-3z=0,x+y+z=0,3x+6y+8z=0 (iii) x+y=z=0,2x+y-z=0,3x+2y=0

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